Tiger, as most accomplished players have a tendency to do, errs in swinging to far to the right, period. One of the reasons why Hogan is so esteemed is his ability to swing left which, as is well known, helped him battle a hook.
Yes. A machine would produce a slight hook because the axis of rotation is inside the tool. Simple physics. Hogan's answer to O'Meara (described in Haney's book may be an eye-opener for some).
No. Hogan is not esteemed as hook-tamer. He was much more than that and comparing Woods to him is indigestible. Woods is an amateur comparing to Hogan full-motion-wise.