Is it worth it to hoard APK Games? I have like 1000+ APK of games I downloaded from 2011-2016

I would say yes.... for the following reasons:

some mobile games get updated often, with the new versions being worse than older ones, or having content cut from them etc...

then there are a lot of games that never gotten updated for a long time, and can no longer be installed and run on modern devices

perhaps there are a lot of delisted games from the Google play store since 2016?

So I think this collection of yours does have some archival value! :)