B737 was correct in responding to the TCAS, but used incorrect technique. Know what's required to get the vertical speed you need. 1 degree pitch changes is approximately your mach number x 1000 in fpm change. Flying level at M0.8 then you only need two degrees pitch up to achieve a climb rate of 1600 fpm.
And now I think Framer was correct, when you strip the layers away you find fear.