A friend of mine has the same issue and they just got put on a beta blocker along side the stimulant. According to my psychiatrist, that is fairly common.

But also yeah, controlling my adhd almost completely removed my depression and anxiety symptoms. Doctors tried to treat just my depression/anxiety for over a decade with only marginal results. I had the same experience with the bupropion, it helped with the depression but it didn't do much for the actual executive function.