But that's the point is doesn't matter what the volume of gas is, any temperature increase will give you the same increase in pressure, ergo there will not be any difference between the different diameter of wheel given the same temperature rise.
However the temperature increases inside the tyre because of the work done by the tyre, some of which is from the continuous deformation of the side wall, so a lower sidewall may actually reduce the heat generated.
However the temperature increases inside the tyre because of the work done by the tyre, some of which is from the continuous deformation of the side wall, so a lower sidewall may actually reduce the heat generated.