I don't remember there being very many Dawn X Ash shipteases tbh
the way I see it, Serena loved Ash to the point of it being creepy and Ash liked Serena enough to not find her obsession with him creepy, May liked him but nothing ever happened(for the above reasons you mentioned) Misty liked him but he didn't like her, Dawn kind of liked him but not enough for her to ever act on it (and vice versa)
Lyra was super weird and I hate everything about her (I don't know why, she just gave me the creeps)
and as for his movie love intrests, I don't remember them as much as you...except Bianca....and only because on the chance that that was Latias then "ew, why is an animal in love with him?" or if it was Bianca then "tch grrrl why didn't you go with him and force your way into TV canon if you liked him so much?"
also Miette seemed less like she liked Ash and more like she was just screwing with Serena cause she knew she liked him