Jehan, you agree that the size/weight of the aircraft has nothing to do with the flying speed, do you? (Assuming the flying speed is above Vs and below Vne - and I agree large airplanes typically have higher values for those than small aircraft.)
So if a C172 and an airliner are both doing, say, 120 knots then they are doing 120 knots, right?
Now assume a 2-knot crosswind. If they don't correct for the crosswind they both end up two nm off-course after one hour of flight.
Over a distance of 120 nm, 2 nm offset is about 1 degree. (You can either use the 1:60 rule-of-thumb, or use arctan( 1/60 ) ). So to correct this offset, they both need to steer into the wind by 1 degree.
Again, all completely regardless of weight or size.
And if you don't fancy complex (...) calculations, consider this. There's a rubber bathtub duck and an oil tanker floating around on the North Sea. Both are using no engine power whatsoever, and we are also disregarding wind. Both will then drift with the tide. Making the same speed over the ground, regardless of their size or weight. Same thing.