Any two cards really mean any two cards?

[Xanthro]

I encountered a new situation for me, during bubble play and with three players left there was always one exceedingly short stack player, and the player to my left, who had me covered, took advantage of this to reduce my stack, so when it entered heads up I was at $3,500 and he was at $10,000.

This was a turbo and the blinds were $800.

My first three hands were 35o, 23o, 23o, I folded, he pushed and I folded, and I folded. My read was that we would call with basically any two cards. He pushed his next hand and I folded with 24o.

Now of course this is a horrible string of cards, but should I have actually pushed any of them? My two pushes would have been 25o, and 23o.

I ended up pushing 75o, and he instantly called with 73o, so my read on him calling was correct. I doubled up here but it didn't really matter as I was still so short.

I understood my stack was getting killed, but pushing when the likelyhood is I'm playing the board for a chop was just too much for me to push.

How bad of a mistake if any was it to not push here, or should I simply chalk this up to one of these times when the cards are not kind and move on because there is nothing to learn here?