Somewhat common situation ($33)

CO(YOU) 1000/Button 3000/SB 3000/BB 1000
Blinds 150/300

Assume typical clueless $33 opponents. You are dealt 32o. Do you push or fold?

[Percussion]

I dont think this is common, simply beacuse the hand when you were button, your pushing w/ any two.
This might be one of the few times I would fold, mainly beacuse 23o vs 3 random hands is a dog (obviously)
Since you didnt push last button, you gotta fold here and push BB SB and Button no matter what the action (unless you double or triple)

23o is the worst hand in poker HU. The BB has a very low threshold to call you. This is one circumstance where I probably enter the blinds with a meager stack and take my chances with a better hand.

So would this be a better push than the original hand?

Dealt to you: 32o
CO 1000/Button(You) 1000/SB 3150/BB 2850
Blinds 150/300
CO folds,

Maybe I'm playing too scared on the button when the two big stacks are in my blinds. In this hand the BB can afford to call and he is getting 2-1 odds, so he probably SHOULD call with any 2. I'm not sure how often I actually will get called by them however. I was thinking I had less of a chance of getting called by anyone in the original hand than I would in this hand because the BB would have to commit all their chips to call (And the big stacks won't be as compelled to play sheriff with someone else left to act). In both hands the BB probably should call with any two cards, but maybe I'm wrong in assuming that they are much more likely to call in the second hand.

You know what a better move is? Pushing before you look at your cards.