I can't remember the numbers and I can't find the info--yet--but something like 70?, 90? percent of the tension and compression stresses are withing 10? percent of the surfaces. The middle (neutral) layer has no tension or compression stress at all, only shear.
So what ever heat does to the middle wood has no effect on performance.
Heat certainly is useful in stiffening or bending a limb. But deep heat, not so much.