Wait, wait, let's not give the wrong impression. Yes, you can recycle PLA to an extent but you can't mix it in with your recylables. Few cities can recyle PS, much less PLA or at least they aren't set up to handle it.
If you are curious about the tech, sure, it's recyclable. For practical purposes you may as well throw it in the trash ahead of time and avoid contaminating the recycling. Plus if you try to put it in most commercial composting it will not degrade enough to be usable and has to get removed to avoid damaging the compost. So if you happen to not have the right kind of composting facility you can't handle it.
Yeah, it's on paper no worse than other plastics, but you have to have a plan to handle it -- it's not just a thing you can toss in the recycling bin.