Some do, based on my experience.
A few years ago I got into a master's program. On the first day of every course, every professor told us about how our director and all professors were freaking out on April 15 because there were too many of us coming to class.
Our department has the admission data of the past years, and the admission to enrollment ratio fluctuates within a certain range. Each year, the department gives a prediction of this year's admission/enrollment ratio. Then, based on that prediction, the admission committee determines the number of admission, targeting at an expected number of enrollment. Our program doesn't seem to use a wait list system. Our director once mentioned how he thought a wait list was a torture to applicants.
For reasons still unclear to this day, our year went rogue. More people decided to enroll than predicted. Huge salutes to our professors that decided not to undermine the quality of the program. They decided to take up much more work and teach each course twice a week, so that we had two sections with a single digit class size.
(I was in Arts, not Humanities, but close? Closer than STEM? ?)
Of course, that was only my school. It is very possible that some schools use different strategies.