I am not actually using any servos.
No, it 'd not work, motors is part of "negative feedback" loop.
You should calculate angle via arcsine(summa). I've mention this in section 3 of the blog,
"Absolute direction to sound source, and must include stage #5 – angle calculation via known delay time. Math is pretty simple, acrsine function, and at this point in program only one calculation per several frames would be necessary, so floating point math wouldn’t be an issue at all. No LUT, scaling, rounding/truncation. Elementary school geometry knowledge – thats all you need."