APR's are typically put in place as a way to guide more hunters into killing more antlerless deer, even if the hunters don't know it.
APR's will lower antlered buck kill, but it's by design. In most area's of the country, deer kill is still skewed too heavily towards antlered bucks, thus creating a situation where the overall numbers cannot be adequately kept in check.
While that philosophy of focusing on bucks, that started in the 1920's, is ingrained in many hunters minds, the fact is that in the 21st century, more antlerless deer killed and less bucks killed will have to be the guiding principle in deer herd management, especially as hunter numbers shrink due to the changing demographics.
APR's are much more popular than say "earn a buck" programs. However, in another 20 years, when we lose a roughly predicted 1/3 of our deer hunters, more drastic measures may/will be needed to address herd numbers.