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22's are profitable as long as the following condition applies (as state by Ciaffone):
1. You aren't OOP in a pot that has been overcalled by a tight/decent player and are not exceptionally deepstacked (200BB or more).
2. The bet is LESS than 10% of both players effective stacks
3. Villain has tight raising restrictions (more likely to pay you if you hit since they are m ore likely to have a legitimate stack)

That being said your situation posted is indeed a profitable one

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Good post. I find #2 to be a very important consideration. With -any- low to mid pockets, you want to be able to get roughly 10x what you put into the pot preflop. In addition, try to do this against an aggressive player.

A super tight-passive probably won't call your all-in reraise on the flop.

I love playing pocket pairs more than any other hand!