I agree, the changes brought on by a neuter are primarily about sexual behavior, not personality. Some people interpret bunny courtship (circling their feet and follow them around) as affection, and are sad when that goes away after a neuter. But courtship behavior isn’t really about affection, it’s about sex-drive and urge to procreate. The bunny doesn’t choose to do it, it’s “forced” by his hormones.
Aggression and territoriality are also often sexually driven behaviors, and when those things go away after a neuter, we tend to think the bunny has “calmed down”. But it’s really that he nolonger has the same need to defend his space against intruders etc. That’s really purposeful to do in nature, but for a house bun, it’s redundant – it has no real purpose since he’s not competing for lady buns, so it just puts stress on him.
My Bam just lost his urge to court my German Shepherd dog. Yohio just lost his phenomenal but really gross capacity to pee several feet up on the walls. Other than that, same bunnies as before their neuters. They’re very un-like each other, buns really are individuals with lots of personal personality!