UPDATED: See https://eggachecat.github.io/jycm-json-diff-viewer/ for a live demo! Now it has a JS-native implementation.

Affiliation: I am the author of this lib.

Yes! You can diff it with jycm which has a rendering tool out of the box.

It uses LCS, Edit distance and Kuhn–Munkres to diff arrays.

Here's an universal example with set in set and value changes in some set

from jycm.helper import make_ignore_order_func
from jycm.jycm import YouchamaJsonDiffer

left = {
    "set_in_set": [
        {
            "id": 1,
            "label": "label:1",
            "set": [
                1,
                5,
                3
            ]
        },
        {
            "id": 2,
            "label": "label:2",
            "set": [
                4,
                5,
                6
            ]
        }
    ]
}

right = {
    "set_in_set": [
        {
            "id": 2,
            "label": "label:2",
            "set": [
                6,
                5,
                4
            ]
        },
        {
            "id": 1,
            "label": "label:1111",
            "set": [
                3,
                2,
                1
            ]
        }
    ]
}

ycm = YouchamaJsonDiffer(left, right, ignore_order_func=make_ignore_order_func([
    "^set_in_set$",
    "^set_in_set->\\[\\d+\\]->set$"
]))

ycm.diff()

expected = {
    'list:add': [
        {'left': '__NON_EXIST__', 'right': 2, 'left_path': '', 'right_path': 'set_in_set->[1]->set->[1]'}
    ],
    'list:remove': [
        {'left': 5, 'right': '__NON_EXIST__', 'left_path': 'set_in_set->[0]->set->[1]', 'right_path': ''}
    ],
    'value_changes': [
        {'left': 'label:1', 'right': 'label:1111', 'left_path': 'set_in_set->[0]->label',
         'right_path': 'set_in_set->[1]->label', 'old': 'label:1', 'new': 'label:1111'}
    ]
}

assert ycm.to_dict(no_pairs=True) == expected

you can set no_pairs=False to get the all pairs. Here's a rendered example:

As for the example here, you can use it as:

from jycm.helper import make_ignore_order_func
from jycm.jycm import YouchamaJsonDiffer

left = {
    "data": [{"x": 1, "y": 2}, {"x": 3, "y": 4}]
}

right = {
    "data": [{"x": 3, "y": 4}, {"x": 1, "y": 2}]
}

ycm = YouchamaJsonDiffer(left, right, ignore_order_func=make_ignore_order_func([
    "^data",
]))

ycm.diff()

assert ycm.to_dict(no_pairs=True) == {}

Bonus, you the values are interrupted as coordinates on plain, you can even define a operator to determine whether two points should be matched!(Then comparing their values)

Here's the code:

from typing import Tuple

from jycm.helper import make_ignore_order_func
from jycm.jycm import YouchamaJsonDiffer
from jycm.operator import BaseOperator
import math

left = {
    "data": [
        {"x": 1, "y": 1},
        {"x": 10, "y": 10},
        {"x": 100, "y": 100}
    ]
}

right = {
    "data": [
        {"x": 150, "y": 150},
        {"x": 10, "y": 11},
        {"x": 2, "y": 3}
    ]
}


class L2DistanceOperator(BaseOperator):
    __operator_name__ = "operator:l2distance"
    __event__ = "operator:l2distance"

    def __init__(self, path_regex, distance_threshold):
        super().__init__(path_regex=path_regex)
        self.distance_threshold = distance_threshold

    def diff(self, level: 'TreeLevel', instance, drill: bool) -> Tuple[bool, float]:
        distance = math.sqrt(
            (level.left["x"] - level.right["x"]) ** 2 + (level.left["y"] - level.right["y"]) ** 2
        )
        info = {
            "distance": distance,
            "distance_threshold": self.distance_threshold,
            "pass": distance < self.distance_threshold
        }

        if not drill:
            instance.report(self.__event__, level, info)
            return False, 1 if info["pass"] else 0
        return True, 1 if info["pass"] else 0


ycm = YouchamaJsonDiffer(left, right, ignore_order_func=make_ignore_order_func([
    "^data$",
]), custom_operators=[
    L2DistanceOperator("^data->\\[.*\\]$", 10),
])

ycm.diff()

expected = {
    'just4vis:pairs': [
        {'left': 1, 'right': 2, 'left_path': 'data->[0]->x', 'right_path': 'data->[2]->x'},
        {'left': {'x': 1, 'y': 1}, 'right': {'x': 2, 'y': 3}, 'left_path': 'data->[0]',
         'right_path': 'data->[2]'},
        {'left': 1, 'right': 3, 'left_path': 'data->[0]->y', 'right_path': 'data->[2]->y'},
        {'left': {'x': 1, 'y': 1}, 'right': {'x': 2, 'y': 3}, 'left_path': 'data->[0]',
         'right_path': 'data->[2]'},
        {'left': {'x': 1, 'y': 1}, 'right': {'x': 2, 'y': 3}, 'left_path': 'data->[0]',
         'right_path': 'data->[2]'}
    ],
    'list:add': [
        {'left': '__NON_EXIST__', 'right': {'x': 150, 'y': 150}, 'left_path': '', 'right_path': 'data->[0]'}
    ],
    'list:remove': [
        {'left': {'x': 100, 'y': 100}, 'right': '__NON_EXIST__', 'left_path': 'data->[2]', 'right_path': ''}
    ],
    'operator:l2distance': [
        {'left': {'x': 1, 'y': 1}, 'right': {'x': 2, 'y': 3}, 'left_path': 'data->[0]',
         'right_path': 'data->[2]', 'distance': 2.23606797749979, 'distance_threshold': 10,
         'pass': True},
        {'left': {'x': 10, 'y': 10}, 'right': {'x': 10, 'y': 11}, 'left_path': 'data->[1]',
         'right_path': 'data->[1]', 'distance': 1.0, 'distance_threshold': 10,
         'pass': True}
    ],
    'value_changes': [
        {'left': 1, 'right': 2, 'left_path': 'data->[0]->x', 'right_path': 'data->[2]->x', 'old': 1, 'new': 2},
        {'left': 1, 'right': 3, 'left_path': 'data->[0]->y', 'right_path': 'data->[2]->y', 'old': 1, 'new': 3},
        {'left': 10, 'right': 11, 'left_path': 'data->[1]->y', 'right_path': 'data->[1]->y', 'old': 10, 'new': 11}
    ]
}
assert ycm.to_dict() == expected

As you can see jycm report addition and remove for points {'x': 150, 'y': 150} and {'x': 100, 'y': 100} for their distances are too far (more than 10) and value-change for the other two points.

P.S. RENDERER DEMO