[JshWright]

Paralytics used in surgery impact voluntary muscle control only, they have very little in the way of effect on things like heart rate.

Heart rate is absolutely monitored closely during surgery (precisely because it can be an indication of inadequate sedation).

[gotocake]

Paralytics primarily effect voluntary muscles (and spontaneous respiration), but GA impacts the autonomic system to varying degrees. The blockade will keep you from moving (or breathing), the GA will depress your autonomic functioning. Now it’s true that the anesthesiologist will monitor your heart, but they have to interpret the cause of any change. If they don’t realize that the change in heart rate is due to awareness, you’re screwed.