In my screenshot do you see the same effect that you're seeing on your screen? Can you show us what you're seeing, so we have an idea what you mean?
I would definitely suggest using the text as path, and for exactly the reason you mentioned.
It seems like at a certain zoom level, out the corner of my eye, I see one or 2 areas of pixelation, no bigger than 5 px square area. But when I stop to focus in, it's gone. I'm not sure if it's something on the screen, or just my eyes (which could use a slight correction, to be honest).
Oh yes, I do see a difference if I zoom down to 30%. The text-text is slightly darker, and the path-text seems bit thinner or lighter. But if you don't have both on the same page, I doubt if anyone would notice.
Mostly the text looks fine to me as paths. You could always add a tiny stroke, to try to make up for that appearance. Like 0.1 px or even 0.01 px ? But Inkscape can't fix it if the problem is with a browser.