I would worry about the fist weapons only if you find yourself enjoying the whole experience (and I don't have a toon that can use them so I can't say if they're good or not), especially since the pet is your main goal. You must reach Rank 8 I believe, to get the weapons.
Some people really enjoy Brawler's, others find it to be a nightmare. Waiting in line to fight is the biggest downside IMO, that, and all the dying due to one bad split second decision and the unavoidable gear repairing! I actually like it a lot because I really enjoying soloing and it's more about doing mechanics correctly more than anything else
so even though I'm done with it I do still go in there and beat up random bosses, just to do it.