I am struggling to find studies on tire force variation with rolling speed. Most times only the slip angle is considered (along with combined slip, camber thrust).

It would only make sense to me that the lateral force would grow with speed due to hysteresis/damping. As the tire roll faster, with the same slip angle, the amount of time a section of tread spends in the contact patch is lower, however it experiences the same amount of shearing every time, which means it's shearing faster and faster. The faster is shears, the more resistance should be, due to viscoelastic forces. The tire tread effectively becomes stiffer.

Does my description above make sense? Is there any data to back up or debunk these observations?

Thanks!