Use jq to first sort all keys. Then diff to do the diffing:

jq -S . A.json > A-sorted.json
jq -S . B.json > B-sorted.json
diff A-sorted.json B-sorted.json

The above example is for Linux but both jq and diff is available for Windows. It seems Windows has an alternative diff tool called fc, perhaps this could be used instead of diff.

The attachments appear to be valid JSON files. Therefore, the Replace plugin is not required. Please specify as below.

QueryJSON ".Data.RootChunk.renderAreaSettings.areaParameters |= sort_by(.HandleId)"

QueryJSON ".Data.RootChunk.renderAreaSettings.areaParameters |= sort_by(.HandleId)"

If your shell supports process substitution (Bash-style follows, see docs):

diff <(jq --sort-keys . A.json) <(jq --sort-keys . B.json)

Objects key order will be ignored, but array order will still matter. It is possible to work-around that, if desired, by sorting array values in some other way, or making them set-like (e.g. ["foo", "bar"] → {"foo": null, "bar": null}; this will also remove duplicates).

Alternatively, substitute diff for some other comparator, e.g. cmp, colordiff, or vimdiff, depending on your needs. If all you want is a yes or no answer, consider using cmp and passing --compact-output to jq to not format the output for a potential small performance increase.