Instead of passing the entire object to the dependency array, make sure that you only pass name. Which you can do by returning the names

const [objects, setObjects] = useState([])

useEffect(()=> {
      getAllObjects()
}, [getAllObjects, ...objects.map(item => item.name)])

I think using SPREAD operator should work

useEffect(someCallback, [...sv.map(item => item.b.c), ...sv.map(item => item.b.d)]);

Use apiOptions as state value

I'm not sure how you are consuming the custom hook but making apiOptions a state value by using useState should work just fine. This way you can serve it to your custom hook as a state value like so:

const [apiOptions, setApiOptions] = useState({ a: 1 })
const { data } = useExample(apiOptions)

This way it's going to change only when you use setApiOptions.

Example #1

import { useState, useEffect } from 'react';

const useExample = (apiOptions) => {
  const [data, updateData] = useState([]);
  
  useEffect(() => {
    console.log('effect triggered')
  }, [apiOptions]);

  return {
    data
  };
}
export default function App() {
  const [apiOptions, setApiOptions] = useState({ a: 1 })
  const { data } = useExample(apiOptions);
  const [somethingElse, setSomethingElse] = useState('default state')

  return <div>
    <button onClick={() => { setApiOptions({ a: 1 }) }}>change apiOptions</button>
    <button onClick={() => { setSomethingElse('state') }}>
      change something else to force rerender
    </button>
  </div>;
}

Alternatively

You could write a deep comparable useEffect as described here:

function deepCompareEquals(a, b){
  // TODO: implement deep comparison here
  // something like lodash
  // return _.isEqual(a, b);
}

function useDeepCompareMemoize(value) {
  const ref = useRef() 
  // it can be done by using useMemo as well
  // but useRef is rather cleaner and easier

  if (!deepCompareEquals(value, ref.current)) {
    ref.current = value
  }

  return ref.current
}

function useDeepCompareEffect(callback, dependencies) {
  useEffect(
    callback,
    dependencies.map(useDeepCompareMemoize)
  )
}

You can use it like you'd use useEffect.