Though I'm a newbie, but I've sat at plenty of tables where pot odds are not a part of anyone's thinking.

The benefit I usually exploit is when I'm facing a draw. When the pot is large (usually it is from too many limpers), unknowledgeable players generally bet the same amount anyway. Like their standard bet is $3 if the flop suits them. So when the pot is already $10, and you've got 8-10 outs, it allows you proper odds to make your hand and take down a much larger pot.

FOR DISCUSSION: In this case perhaps it makes sense to put in a minimum raise in late position with drawing hands (JTs). Limpers will call, and you wind up with good odds to call the $3 bet because you've built the pot? Or perhaps just stick to the Tight/Agg gameplan?