For some reason, homosexuals mistake people who find them disgusting as haters.
Or at least pretend to make that mistake.
They also mistake people who admonish sinners — the first listed in many lists of spiritual acts of mercy among the Latins, though I’ve also seen it placed third, and since St. Peter of Mogila among us Orthodox as well, and thus an act of love, not hatred — for “haters”. (Or, as you observe, pretend to.)
The issue is one of association.
The homosexuals are trying to associate their conduct with those of normal behavior.
The best counter to is to associate homosexual conduct as the same as other sexual fetishes (animal sex, leather, wife swappers, pain/cutting/whathever, criminal acts)