Yeah, that line of thinking pops up a lot, but it's important to distinguish what each axis actually needs. Lead screws are great for the Z-axis. They're precise and handle vertical loads like champs. But toss them on X or Y and you're asking for trouble. They're just not built for speed, too much backlash, too slow. That's why belts are pretty much the go-to on consumer-grade printers these days.
As for those wavy lines, that's probably not the belts themselves. I've seen stuff like that come from loose belt tension, frame wobble, or even your accel settings being cranked too high for how rigid the machine is. Hard to say without a bit more info, though. What printer are you running, and what speeds are you seeing this at?