"Aesthetic attraction", is that the same as lust except it doesn't make your penis hard?
Not exactly. The model I tend to use has four main types of attraction (but it's just a model so ofc there's room for exceptions, nuance, etc).
Sexual - when you want to have sex with a perso.
Romantic - when you want to be in a loving relationship with a person.
Platonic - when you want to spend time with the person as a friend.
Aesthetic - when you just think the person is really nice to look at.
That list is from least common to most common in terms of my own experience. And not everyone has to be just one category, the form(s) of attraction can change.
Tbh, it's learning about this more granular approach to attraction that helped me to unpack my own feelings and realise I'm basically ace. Maybe a little bit grey.