Let me break that down

Targets of sexual attraction: I think that most people (Moderate confidence) see different targets of sexual attraction with wildly varying levels of cuteness, and I know that for myself, cuteness is inversely correlated with how directly, physically sexual my attraction is. Furthermore, after I inadvertently modified myself to be attracted to power, cuteness became a bit of horns rather than a halo.

Targets of sarcastic comments: I think that is clear and simple insulting for childishness.

Inanimate objects: I tend to feel protective of quaint equipment, even if it is unlikely to be a valuable historical artifact in the future, but it doesn't seem related to the cuteness response to those objects.

I think that the most important distinction in your list is between cute adult humans and all the others except for sarcasm, which doesn't belong with the rest of them.