I totally agree that this is a more vague means of determining whether there is a pulse - maybe they do not want to leave it to a non-professional to determine whether there is a pulse.
If you're going to err on one side or the other - best to err on the side of "no pulse" , and start compressions - rather than "think" you feel a pulse and not. People with more experience checking pulses would be more accurate - where checking for "signs" (the ones you mention) is less conclusive, and would lead one to err on the "no circulation" side, if it is so difficult to tell. (I guess one could have visual hallucinations as well as tactile ones, though)....
The protocol goes on to recommend that assuming no circulation was detected after the 2 initial breaths, begin compressions, and after 100 compressions (comprised of 15 compressions then 2 breaths...(for adults)...), pause and check once more for "signs of circulation".
After that, there is no more pausing and checking for signs - it's just continue the compressions/breaths until you are relieved or keel over from exhaustion (or until the victim revives - which - of course, they stress is highly unlikely without advanced care).
I'm not reading this off anything - I'm going from my memory from the class - so if I have something wrong, please someone correct me. However - this is the protocol as I remember it from the class.
I will contact the instructor for the class with these questions, though. If this protocol was adopted, as divemed06 indicated too, then I guess the questions should be answered by those institutions. I'll look also on the American Safety and Health Institute site to see if they have anything about it.