[Piers]

I believe this is likely.

I am fairly sure it is true for short stack no limit, where big little hands like Q6o might be unprofitable on the button against blinds defending 50% of their hands, but profitable against blinds defending 100% of the time or 20% of the time.

In limit you have the extra consideration of playability after the flop, but I suspect this does not perturb the underlying race sufficiently to remove this effect.