I think the question is whether 6 7 suited is high enough.
In conventional rankings of hands it is always assumed that two hands are heads up against each other, so hands that have no high card strength are automatically starting from behind and will have to fold to a flop bet unless they catch something on the flop, at least a pair or some kind of draw.
With several players in a pot, the odds in favor of the suited connector are much better. Just yesterday I won a monster pot and trebled my stack with QT suited when two opponents both had AK.
However, I look at it this way. There are 13 cards and the middle card of the 13 is 8, so in general it is better to play no hands that have a card lower than an 8, so that you always have at least some chance that if you make a pair on the flop, it will be top pair.
Of course there will always be special situations where it is advantageous or the odds or position favor playing a small suited connector, but it needs be done with a definite plan in mind. For example if you play 6 7s and flop second pair, will you lead out with a donk bet (and how much?), or will you call a bet from an opponent, or check raise an opponent who continuation bets. How large a bet will you call, etc., etc.?
My own feeling is that if you play something like 6 7s in a 4-way pot in a tournament, then second pair on the flop is not worth much and you should proceed with extreme caution, because if opponents stay in after the flop, you are so vulnerable to further overcards.
Obviously you will win some pots, but in tournaments my mantra tends to be win big pots and give up small pots, whereas many opponents use the opposite strategy.
Another point is that so much depends on your table image and what you can get away with. My usual Doyle Brunson hand is 6 3. If you are playing very tight, you may raise with this hand as if it were AA and taken down the blinds, but it is even more delicious when the flop hits you, because no one expects you to have a 3 in your hand, and you may stack an opponent who shove-bluffs, believing you have 2 high cards and will fold. One hand I had recently I raised with 6 3 from the button, and was called in the BB and flopped a boat, going on to make quad 3s on the turn. Opponent did not know what hit him.
A2 suited is OK to play from the blinds. If you are small blind and it is folded to you, you are ahead of most random hands held by BB. Only pocket pairs and Aces other than A2 are ahead of you. Unfortunately, if you raise from SB, the hands most likely to call you are pocket pairs and other aces, and if the opponent has a pocket pair, making a pair of 2s will not help you.
If you limp A2 suited from the Button, and neither SB or BB raises, you can probably hypothesize that neither of them has an A and the pot may often be checked down to the river with A winning on showdown. However, if SB calls, as they often will with 5:1 odds preflop, the odds move in favor of one or the other of your opponents making a pair by the river.
Another issue with A2 is that if you flop two pairs, you may commit a lot of chips, but if another A pairs on a later street, or the board pairs, then your pairs of 2s is counterfeited, it will probably cost you a lot of chips.