He'd have to insult (us) women in order to be a real womanizer. And he didn't do that.
For me it's a question of shear volume. A true player has "womanizing" on the front burner at all times, all other consideration come in second. For Kirk, getting tail just plain isn't job one.
Kirk: "so Miri, just how old are you really? Not that it matters Honey."