This would violate the assumption that your opponent was a "strong" player, but whatever.
It does make me wonder just how skewed your opponent would need to be for this to be correct.
So let's say you raise A
6
from the button and BB calls 60%:
22+, A2s+, K2s+, Q2s+, J2s+, T3s+, 95s+, 85s+, 75s+, 64s+, 54s, A2o+, K2o+, Q5o+, J7o+, T7o+, 97o+, 87o
The flop comes A
Q
9
. The action is check-bet-call. We're going to assume villain calls with any flush draw, any pair, any straight draw. That's a pretty generous bad play. We're also going to assume that all big hands check-call because LOL-slowplay-LDO. That, and it's just simpler to do the counting.
The range is now
AA = 1 hand (no flush draws)
KK = 6 hands (3 flush draws)
QQ = 3 hands (no flush draws)
JJ-TT = 12 hands (6 flush draws)
99 = 3 hands (no flush draws)
88-77 = 12 hands (6 flush draws)
66 = 3 hands (2 flush draws)
55-22 = 24 hands (12 flush draws)
AK = 8 hands (2 flush draws)
AQ = 6 hands (no flush draws)
AJ-AT = 16 hands (4 flush draws)
A9 = 9 hands (no flush draws)
A8-A7 = 16 hands (4 flush draws)
A6 = 9 hands (2 flush draws)
A5-A2 = 32 hands (8 flush draws)
KQ = 12 hands (3 flush draws)
KJ-KT = 32 hands (12 flush draws, 2 flushes)
K9 = 12 hands (3 flush draws)
QJ-QT = 24 hands (6 flush draws)
Q9 = 9 hands (no flush draws)
Q8-Q7 = 24 hands (6 flush draws)
Q6 = 9 hands (3 flush draws)
Q5-Q2 = 48 hands (12 flush draws)
JT = 16 hands (6 flush draws, 1 flush)
J9 = 12 hands (3 flush draws)
J8 = 16 hands (6 flush draws, 1 flush)
J7s-J2s
= 6 hands (all flushes)
J
7x = 3 hands (no flush draws)
Jx 7
= 3 hands (no flush draws)
T9 = 12 hands (3 flush draws)
T8 = 16 hands (6 flush draws, 1 flush)
T7s-T3s
= 5 hands (all flushes)
T
7x = 3 hands (no flush draws)
Tx 7
= 3 hands (no flush draws)
98-97 = 24 hands (6 flush draws)
96s = 2 hands (no flush draws)
95s = 3 hands (no flush draws)
87-85s
= 3 hands (all flushes)
8
7x = 3 hands (no flush draws)
8x 7
= 3 hands (no flush draws)
76-75s
= 2 hands (all flushes)
65-64s
= 2 hands (all flushes)
54s
= 1 hand (flush)
So if I didn't screw up the hand counts:
468 total hands
118 flush draws
24 flushes
If the 7
hits on the turn and villain bets 100% of his hands, he will be betting 142 flushes and 326 non-flushes. This is about 70% non-flushes. But A6 doesn't beat all the non-flushes. Other hands that beat A6:
Sets:
AA = 1 hand
QQ = 3 hands
99 = 3 hands
77 = 3 hands
Two pair:
AQ/A9/A7 = 18 hands
Q9/Q7/97 = 27 hands
Better aces:
AK/AJ/AT/A8/A7 = 40 hands
This is 95 more hands that are ahead, which is roughly another 20% of his range. This means villain is betting 237 better hands and 231 worse (or tied) hands. So you're basically 50-50 now.
So if we take the 50-50 to be roughly indicative of where you stand relative to your opponent's range, then at 4:1 pot odds, if your opponent is donking at least 25% of his range that's worse than your hand, then calling is profitable assuming that your opponent will only bet flushes on the river. You get a small +EV bonus being in position because you can value bet if he checks, which gives you a bit of a buffer to reduce the number of worse hands that are betting the turn and still be okay.
I remain skeptical that 40-60% of the population meet this description, but I'm open to the idea that this actually happens for select players.