Plot hole?

So the rooster can grant you any power you choose, so why not “find things lost” and find the butterfly miraculous which is lost to ladybug?

An argument is the rooster can’t copy other miraculous such as it can’t be used to time travel because that is the bunny.

But wouldn’t the butterfly have that same rule? But there have been 4 or so time travel akumas? So what’s the difference.

The dog miraculous can fetch items touched with its ball but not as item you never touched. Hence why I would argue a difference.