I think this sort of boils down to a misunderstanding between those who want to be seen as more than physical characteristics and the desire not to have unwanted physical interaction. I think those are both valid desires. The unpleasant experiences both "sides" have had make this discussion difficult. A failure to recognize you as a person with desires that aren't in accordance with someone else's projection onto you is clearly very bad. I don't think rejection is at this same level of very bad action, but it is still substantially hurtful to many men. You could just say "so what" to that and I'm not saying it to imply an obligation to accept. I'm just saying that it hurts to be rejected. Hopefully that makes some sense.
So no, rejecting someone as a sexual partner is not sexual objectification, pretty much by definition.
Anyway, your point is still wrong. Judging someone as not sexually attractive is pretty much the opposite of sexual objectification, it's a refusal to treat the person as a sexual object. I might be perfectly willing to have a relationship with fat bald guy as a cOlleague, or as a tennis partner, or as a friend - I'm not denying his humanity, I just don't want to sleep with him. Compare that with his action of rubbing himself against me, even after having made it abundantly clear to him that I wasn't interested. He doesn't care about me and my wishes, they are irrelevant to his goal. He finds me sexually attractive, and he wants to get laid, and too bad for me if I don't agree.
So no, refusing to see someone as a sexual object is sexual objectification in the same way that not collecting stamps is a hobby.