There is nothing wrong with swaged bullets as long as you don't try to attain magnum velocities with them. In fact, at low velocities in the 700-900 fps range, I have found them to be just like you describe.

Winchester used to sell swaged bullets as components. I don't think they do any longer and that is a shame. I bought a bunch of 158 SWCs and 148 HBWCs and they shoot really well out of all my guns and do not lead at all.

But for heavier loads, I usually stick with my own cast bullets. There are some good vendors out there but there are a lot who sell one-size-fits-all junk.