Even the Bell 47 was quoted as only having a delay time of .47 second before the corresponding rotor reaction to a cyclic input. I know of no modern helicopter which has a delay time of two seconds. What you see in the cockpit is the time between control input and subsequent fuselage response. This is dependent on the equivalent flapping hinge offset which is effectively zero in two blade teetering heads and 100% for a theoretical completely rigid system (I think about 17% is common). In practice most people would have difficulty noticing the delay in for instance the R44, even less so in the R22.