To my knowledge the dragster tires are actually designed to get bigger at high revs for a change in gearing.
Modern road and racing tires however are not really changing size, at least not intentionally.
I think most of the grip/tire pressure tradeoff is depending on the construction. You can very clearly feel a tenth or two in car balance, so there is an effect of pressure on the contact patch size.
Lower pressure gives you more grip in all directions. If you push over the limits, you will get to a point where the contact patch is caving in in the middle and loose area instead of gaining. There are very interesting videos of tyre pressure vs. water displacment filmed from below through a glass plate showing this (which I cant find right now
).
So: yes they do, but just in a small window. Recommended pressures are based on the construction of the tires and you can go a few tenths up or down. But don't expect it to be a huge difference.