From what I’ve heard, I actually have reached the opposite conclusion about preferences for floating or fixed pendants.
If the pendant is heavy, then a fixed setting works well, because the pendant will center itself naturally. The friction of the chain against your skin is counteracted by the weight of the pendant wanting to move towards the nadir. And you have the benefit that the clasp won’t move to the front.
If the pendant is light, then a floating setting works well, because the pendant will be able to center itself when it’s knocked to the side. I’ve seen it when the pendant kind of ends up on the side of the neck asymmetrically, either intentionally or unintentionally. This risk of displacement is lower when the pendant has a bale instead of being soldered to the chain, because the pendant doesn’t have to move the entire chain with it in order to fall to the center. The downfall is that the clasp shifts.
I have a pretty large emerald cut pendant (>3 ct) that is east-west oriented. I had the pendant soldered to the chain, and I notice that the piece doesn’t move to the side very often. But when I was creating the piece with my jeweler, my jeweler said that some people prefer the bale, because then they don’t have to worry about the diamond ending off on the side. I mean, sometimes, I notice that my pendant is to the side, but I can also feel when that happens, so it’s a quick fix.
I suppose you can think of a bale functioning like a medallion, which means it’s naturally going to fall to the center. I mean, I’ve never seen it where a medallion is hanging off someone’s neck to the side. It’s just not, I guess, physically likely to happen.
For me, the clasp being in the front would annoy me more than the diamond being at the side, which is why I chose the soldered option. But honestly, there are slight pros and cons to both.
There’s also the issue of aesthetics. When my jeweler explained how he could add a bale to the east-west orientation pendant, I didn’t like what he was describing. Either the chain goes through one bale through the middle, or the chain feeds through two bales in the back. Neither of those sounded attractive to me. I felt like the soldered option would appear much more seamless.
Since your pendant is round, I think the issue of aesthetics has a lower priority. I think it looks good either way. But balancing whether you want the pendant to be more likely to be centered on its own, or the clasp to be less likely to move to the front is probably the bigger deciding factor.