I, and everybody I play with, steadfastly refuse to vote for the third slot in the Halo 3 playlist, which is always the objective slot. It is not because we dislike objective gametypes; in fact we prefer them. We'd very much like to vote for CTF on The Pit when it appears in the third slot or KOTH on Guardian when it appears in the third slot or Oddball on Heretic when it appears in the third slot or One Flag CTF on High Ground when it appears in the third slot. But we never do. We always vote for Slayer, providing it is paired with a BR start. Slayer is the only gametype in H3 (perhaps in H2C too?) that has the option of a BR start.
I don't think it is true to say that a huge portion of the playerbase 'hates' objective gametypes, rather, the majority of players prefer to play Slayer. Because it is their preference, gametypes other than Slayer in a playlist that features Slayer tend to be voted for less. Still, there is a not-insignificant amount of Halo players, particularly in a legacy Halo game like the MCC, that either like objective gametypes more than Slayer or value them equally. The obvious solution to this is to separate Slayer and Objective gametypes in to their own lists and this is apparently 'in the works'. However, were this mooted objective playlist to be SMG/AR start only, it would be guaranteed to be dead on arrival.
AR starts simply do not work in Objective gametypes for a variety of reasons and this is something even the progenitors of this franchise (AR enthusiasts that bungie were) recognised. Weapon starts don't explain why a mixed playlist will always have Slayer predominantly voted for but they DO explain why even those who do like Objective DON'T vote for it.
Bungie said that player counts decreased whenever objective was added to a playlist, irrespective of how often it was actually voted for. So I would say that's evidence of disliking objective, above and beyond preferring Slayer.