Last time I went to Disneyland, they had signs posted as to how long the wait time to get on a ride is...So, yes, they do keep track of wait time and try to work on them hence the concept of fast pass...This guy is clueless, get rid of him, Wait time for rides are not the same as wait times to see the doctor, take too long to to get in to see a doctor and it can cost you your life.
As a florida resident with annual passes to all the amusement parks including the Disneyworld, I can say with 100% certainty that Disney does measure wait time. The wait time is posted at entrance of every ride. I personally have been asked multiple times to carry a red card at the entrance of a ride so that i can hand it back to a staff member to calculate the wait time before I board the ride.