There are a couple of things there that I disagree with.
You should be scared of a flush when you flop a set, and you should fold to big bets when you're drawing. Both are 1 in 3 which aren't bad odds
, you want to stick around but don't want to pay much to do so. There are of course implied odds to consider, which for the set making a full house are actually quite good, but the implied odds for making a flush usually aren't that good.
A lot of people have trouble folding a set to a flush on the flop simply because "even if he's got it, I'm a 1 in 3 chance to outdraw him" but putting your chips in with the worst hand is bad, regardless of how huge that worst hand might be.
Also, jacks are a very good hand, even a very good hand to shove with.
Yes, an A, K or Q will hit the flop 59% of the time, but your opponent hasn't hit! Sometimes...
It all comes down to a read, but usually these big cards are easiest to read anyway, if you put him on AK or AQ and an overcard hits, you're not in that bad shape. If the A hits, you've got to fold, if the K or Q hits, then it's 50% that he's hit.
Now extend his range to AJ, AT, and medium to large pocket pairs. The A is again that horrible card that you've got to avoid, because it's the most likely he'll hold in big pot, but the K or Q really shouldn't have you running scared, unless he plays back at you.
Here's what you need to know to play jacks well.
The chances of hitting on the flop with unpaired hole cards are 1 in 3.
In a raised pot, his range is fairly obvious so if it hits hard, it's an easy fold.
Watch out for big pocket pairs, they will be your downfall far more than overcards.
Are those percentages for 22 and AK right? I'm not sure if he just used the odds of a pocket pair vs AK. I know 22 has a fair chance of being beaten by the board, so it might throw it off a bit. Doesn't matter all that much, in a tournament when you're desperate and looking for any ace to make your stand, when 22 comes along you're shoving. After considering the chances of stealing the blinds, it's the right play.
Keep in mind though that 22 doesn't play well. Against unpaired hole cards, you're ahead especially on the flop, but there are pocket pairs to worry about too so there's a good chance you're going to have to play to hit your set or fold, or bluff. Remember also that your chances of being against higher pockets are much higher with 2's than 8's, this is a big problem.