On the other hand, reps would have to explain to their constituents why they voted for the kicking puppies act which people might have trouble grasping.

And that’s the important part. Right now, the rep can say, “oh, I didn’t realize that was part of the bill, those sneaky Dems/Reps.” But if they’re all clearly named with individual votes, there’s no hiding behind the “they snuck stuff into my bill” excuse.