I think it's important to note that many of these overlap with each other as they are socially defined, as opposed to defined by action. Even among the action defined ones like emotional and sexual, what falls into what people consider "sex" or what feelings are on or off the table because of existing relationships and desires, are all malleable to an extent.
Romantic is the most socially defined among this list, and broadly overlaps with all of these categories. It's also the category among these I struggle the most with, as I don't do well with broadly/loosely defined social concepts, especially those that often come from the experience of a feeling (gender is another example of these). It's less likely that one person's definition of an intellectual connection/attraction would differ significantly from another human, but much more likely that romantic would.
At the end of the day, language isn't perfect. It's a way for us to communicate abstract ideas with some kind of structure. Ultimately you need to ask someone what romance is to them, to understand whether that's something you're interested in, and then have a conversation with the person about what kind of romantic connection they are on board for.
Is it possible to just have one type? I have never had a crush, I have never looked at anyone ever and got turned on or thought about sex with a specific person; but I would literally have sex with anyone if they initiated it because I like sex for pleasure. Is that just a sensual type of attraction or just seriously fucked up?
I think they're just non-exclusive, so any relationship is likely to have a mix of some degrees of more than one kind of attraction, and one can lead to another or change over time.
Communication is definitely the key. It's hard to convey all the nuance in a single world, or even a set of words. Like, once I saw someone refer to themselves as "bi-sapioromantic"... which kind of answered some questions, but raised others. Another time, a couple people seemed to hit it off... until one of them said "before we go any further, can I see your ankles?... no, that wouldn't work, sorry". I don't know what their deal was, or whether there even is a word for it, but at least they communicated effectively.