Power and pitch, know your plane. I'm no top gun, but I know roughly the power settings and pitch my CRJ will do in the different phases of flight. Who in their right mind will pull thrust to idle in a climb and then sit and stare for a minute watching airspeed still climb, without thinking something is not quite right? I hope that is just a mistake in the description on ASN.
EFIS COMP MON is not a very hard caution message to deal with. It should normally combine with an indication on the PFD to tell you which comparison has failed (pitch/roll/alt/ias/hdg etc). The QRH steps for it combined with IAS indication are literally to cross check the instruments, determine which one is likely correct and switch to that side data source. If no indication for IAS seems correct, go to unreliable airspeed and fly according to pitch/power tables.