Not hyper pedantic, just factual.
Correct so far. I haven't said anything else.
The "more than just sex" part is irrelevant for the outside world. They didn't coin a word for that because they aren't interested in that.
Anything else still would be a zoophile. A zoophile is sexually attracted towards animals, a bestialist acts out on this attraction. It is likely that a bestialist is a zoophile as well, otherwise they might not seek intercourse with animals, while a zoophile doesn't necessarily needs to be a bestialist, as not every zoophile acts out on their attraction.
You didn't really made it simpler but overcomplicated it.
An asexual person, for example, can still also indulge in sexual activities without feeling sexually attracted towards anyone. Not being attracted towards someone or something doesn't mean they aren't able to have sexual activities, likewise being attracted towards something doesn't necessarily mean that someone has to act out on said attraction. Attractions and actions also aren't mutually exclusive concepts either that warrant extra terms, so your point is moot. I showed you one (of many) examples that clearly state that zoophilia (as part of paraphilias) IS the sexual attraction towards animals. Sexual attraction doesn't mean having sex. That's why the term bestialist exists, because this denotes a person who IS having sex with animals.
Zoosexuality is, as you correctly stated, a made up term by the community, but not for the reasons you mentioned. Zoo communities tried for a long time to drift away from the association with paraphilias and towards recognition of zoophilia as a proper sexual orientation, since words ending on "sexuality" usually indicate an orientation, but the outside world hasn't recognized zoophilia as a sexual orientation yet, so zoosexuality for the outside world just means the same as zoophilia.
If you go to the more extreme parts of the community, you will experience rather delusional statements like "zoophilia" not being associated with "paraphilia" at all, but rather with "love", some people go to those extremes to claim that anyone loving animals would be a "zoophile", which led to at least one case I heard about (anecdotal evidence, I know) where a person not knowing the term "zoophilia", who was (and still is) a person loving animals got convinced to wear a shirt stating "I'm a zoophile", thinking it meant "I
animals". Someone who knew what "zoophilia" meant asked him if this was true and told him what the word truely meant, to which said person reacted shocked and threw away the shirt in question in disgust. Stuff like that happens when people come up with their own definition of words rather than abiding by (or challenging) the official definitions.
Which in turn also led people back when I was new in zoo communities, almost 30 years ago, to claim that "bestialists" were "dirty animal abusers", absolutely misrepresenting the meaning of said word.
So if you let this happen, in the end you get people to think that words have entirely different meanings than they have. They'll prefer to give "zoophilia" a more positive, less polarizing meaning, make up a new word for the official definition of zoophilia, rebrand the word "bestiality" into something negative and think they can fool the whole world if they pretend just hard enough that their interpretation and definition will turn official somehow in the end. But that's not how language works. And that's not what outsiders believe. Nobody falls for that. It's just delusional and gets treated as such. I've seen that happening time and time again. Outsiders don't buy into the "it's all about looove" stuff while some zoos deceive themselves into thinking that this is exactly what the word "zoophile" means (it is not, though).