Plus when the wind componant is 30% of the cruise speed the effect is much more noticeable.
I would say the contrary. The faster you fly in turbulence, the harder the bumps are. Also, one needs to fly below Va if the turbulence is significant (whatever that means).
I have always found it more comfortable flying into wind on a turbulent day, rather than tailwind. Hard to define but the plane just feels "happier" .
That may be subjective. Can anyone come up with a technical explanation? Relative to the aircraft trajectory, turbulence is mostly a vertical air movement.