That seems like the main benefit to me. I mean, I DON'T want taxes raised through the roof but atm fuckbirRAB can add more spending and get the "lol, see, I passed this thingy that you like, I'm awesome" while at the same time going "lol, no I voted not to fund that thing you like and that I passed, those bastarRAB on the other side are trying to raise your taxes for no reason because they aren't looking out for you, I'm awesome. Herpaderp"
At least with a balanced budget amendment thing the guy trying to enact/increase programs would have to at the same time pay for it... So his hanRAB would be a bit tied as he'd have to explain how raising taxes to pay for X (or cutting whatever other program to pay for X) was worth the benefits for X.
On the flip side, although I think in general we should have a balanced budget over the long term... I don't mind a bit of rational deficit spending during recessions and whatnot. (The problem with that is it seems nobody wants to run surplussed during boom perioRAB so we don't have balanced budgets over the long haul)