Bill Brightly,
At the risk of oversimplifying, on a typical Saturday morning at a private club, you have two basic groups playing.
One is people who come out very early because they have other stuff on their agenda for the day. They play quickly; in fact, the club may keep tee times on a weekly basis for them as pace setters.
The second group are the regulars who are in some sort of a money game, be it points, skins, or their regular foursome with a standing game. They tend toward playing quickly, too; they are relatively serious golfers and in most of the games they pick up at double bogey. They know the golf course and hit provisionals routinely, know their distances for layups, etc.
Play tends to get slower in the afternoon when families come out, when the guys with coolers full of beer come out, and so on, but very few of the core groups care about that; they are long gone by then.
Fast forward to a tournament, which is like Easter Sunday at a church. The course is more crowded than usual anyway. People are playing who only rarely play real, competitive golf, maybe only once a year. They hit more bad shots and they take longer to do it. They have to take stroke and distance penalties, and they have to putt out. They think they are on TV, and go through elaborate preshot routines. Medal play tournament rounds are SLOW!
My objection and concern about the pace of play enforcement is that you have your regulars from the two core groups who play fast mixed in with the people that are really slow. Now a marshal rides up and tells the entire group that they are out of place and "on the clock".
The guys in the group that play fast EVERY week know that the club knows that, and yet they are being warned! They have steam coming out their ears, and there is little or nothing that they can do about it anyway. (If it sounds like I've been that guy, it's because I have, and very little makes me more angry on a golf course.)
Here's my advice: If you want a good pace of play in medal tournament play, have every marshal/starter/ranger/shop attendant/club pro on the staff out on the course and positioned at places where balls disappear acting as spotters. That'll help a little. If that isn't enough, put in some drop zones and see if that helps. If that still isn't enough, then limit scores to double par, which isn't desirable, but might help a little.
Beyond that, leave an hour or so empty on the tee sheet after the last tournament group goes out so that the non-tournament patrons don't get pissed and just live with it. Medal play tournament golf is SLOW, and comparing it to regular weekend play and wishing it was like that isn't realistic.