Here's a really good question.
Back to this. I was just playing Yoshi's Island on my SNES Mini, and on the very first stage, you can see horrible ghosting all over the bright blue background, and not only with Yoshi, but with all other objects as well. Such as moving platforms, and even little mountains that aren't moving show the ghosting! It was very annoying. This tells me that bright backgrounds on games will always be an issue.
Anyway, I pulled out my original SNES model, and then tried the same stage again, and there was no ghosting (in fact, I'll go so far as to state that your non-1chip video doesn't have any ghosting......or at least its 99% ghost free. Yet your 1CHIP is very pronounced with the ghosting, at least in my eyes)
So I guess it really just depends on how much noise your PCB has. You know, there are lots of Low Pass Filter chips that can be purchased on eBay. I don't know much about those things, but maybe someone who knows what their doing can fix the problem with one of those chips.
P.S. Wanna use the original SNES instead of the 1CHIP? But don't like the softer picture? Then turn up your sharpness settings a few clicks and boom, done! (well, at least on a CRT. Don't know about HDTVs)