You sound like the complete opposite to me. I've been playing bass for around 9 years now, I don't have a musical ear and very little talent but I get by on knowing a bit of theory, having a good memory and diverting attention towards my pedalboard and away from me.
I've always had to partially rely on other, more musical band members to tell me if something sounds awful because at times I simply cannot tell.
So as long as I don't need musical talent you don't need to know theory. It would probably help and I would much rather be in your position but it's not vital. IMO.