When comparator U4C output goes high (caused by the +Vin"A" signal from the first stage rising through the threshold set at -Vin"B") there is a chain reaction that lifts the actual input "C" at U4D a little higher.
Lifting that"C" higher causes the precision rectifiers output level (U4D) to rise and that, in turn causes the -Vin to the actual comparator (U4A)"B" signal to rise and that. That, in turn causes theU4C's comparator output to fallswitch back across the hysteresis threshold and bingo, U4C output goes low.
At the start of the sentences above I assumedsaid U4C output went high but, that caused a chain of events that ended up with it going low pretty much straight away afterwards.
Do you see the problem? The problem is that the actual input ("C") to U4D can be manipulated by the output of U4C and that is because that TACH1 input is fed via R4, a 10 kohm resistor. If that resistor wasn't there i.e. it were a short andAND the output impedance of the input voltage at TACH1 were very low then this wouldn't happen.