That would be very surprising if it were true, given the very large effect density altitude has on airplane performance (engine and wing).
Note that it's 3% per 10°C delta so, for a 40°C swing (say 30°C/86°F summer to -10°C/14°F winter), that's a 12% difference in aero drag force.
Opening your window makes far more of a difference.
It's just about observable with very light and very aerodynamic aircraft at ground level if you can get them cold enough.
At -10°C/14°F, with no other adjustments, in the hands of a test pilot, that aircraft will have a ground roll of around 1000' and clear a 50' obstacle and come to a stop in around 1500'.
At 30°C/86°F, with no other adjustments, in the hands of a test pilot, that aircraft will have a ground roll of around 1150' and clear a 50' obstacle and come to a stop in around 1750'.
Flying in and out of 2000'-2500' strips with trees, it's impossible to not notice the performance difference with temperature. Perhaps the people who can't notice those differences don't fly into anything other than very long runways.
That makes absolutely no difference at all.