Not to 44 psi!! I bought mine for performance! The way I understand it, from a performance view the best pressure is the lowest that does not let the sidewalls roll over. The lower the pressure, the more cornering g-force the contact patch can put out if it is not corrupted.
Those performance tires have stiff sidewalls.
No. There you have me.
Actually, I would think the thread is so stiff it does not elongate. I would guess you are thinking of sidewall flex reducing the distance between the axis and the ground. That is irrelevant for rolling diameter.
Check the vendors at miata.net.