What you call "garbage" is for many a high-quality product that is ultimately better than chemical fertilizer.
There will always be some animals searching a composter for food, as long as they can get to it. For example, blackbirds, crows, hedgehogs, moles, etc. And the few eggshells that usually accumulate in the household are so insignificant that they really do not need to be washed beforehand. If someone thinks they have to do this, they are welcome to.
However, as I wrote last time, I see as much sense in that as in rinsing yogurt cups before throwing them in the bin.
Have a nice Sunday everyone