So I've my SAI pump has been out for a month or so (sounds like a jet engine drill) I've been getting P1411 & P1423 codes since the smog pump died, which makes sense since there is probably not enough air coming from the destroyed pump.

But the other day, I also have an addition of P0423, which is Cat bank 1. Has the non functioning of the SAI system caused damage to my Cat? Or is this just a code that go's with the SAI pump being out since the Cat isn't being heated up on cold starts?