Honestly, I've not really heard many arguments against it. It's very rare for it to cause issues, the time it will cause issues is when you depend on the system libs and they get updated and break your game. That actually happens quite often.
The point is it reduces user frustration of "go and install lib x, lib y, lib z" etc. I'm sure you get the idea.
Steam even has the "steam runtime" on Linux which is a big collection of libs, and generally developers who put it on Steam link against it.