Never seen a problem with a Fox shock, but had a guest on a Scott Genius last year whose bike was virtually locked-out at the bottom of long descents.
The boost valve of my DHX Coil also gets pretty hot.
That there will be an effect is simple physics – if you compress and then expand air, you will never do so 100% efficiently, there will always be losses. These losses will manifest themselves as heat, which will heat up the air in the shock. If you increase the temperature of air (or any gas) in a confined space then its pressure will rise accordingly. So if you double the air temperature, you will double the pressure and hence the spring rate of the shock. However, doubling the air temp doesn't mean going from 25°C to 50°C (which is pretty realistic). It means going from 298K to 596K, which isn't!
an air shock uses the compression of the air to act as spring and damper
Just as the spring, air shocks are still oil damped!