As opposed to what, dumping the beverage cart? Managed properly, the beverage cart shouldn't slow down play at all. I can get around in an easy 3 hours with a 4-ball even grabbing a couple of cokes and peanuts from the cart a couple of times. Or I can get stuck behind slow players and spend 5 interminable hours out there even though there's no service on the course....
.....truth be told, if the beverage cart is good, I think it can also cut down on the more significant delays associated with stopping for refreshment at the turn.
The cart girls need to be trained, but assuming they understand their responsibility to help maintain pace of play, I'm on @Cartboy's side on this one. I'd also rather see the course generating revenue from the cart, than cramming even more players onto the course to offset revenue lost because the cart isn't contributing.
Speaking as someone who plays in a WALKING foursome, we routinely watch the hackers in front of us take too long hitting their approaches, take too long lining up then missing their putts, and take too long every time the cart girl comes by. Usually costs us 30 minutes of waiting every round. Cart girls are not the major problem, for sure. But they do contribute to the frustration, especially if they serve a group in the fairway while the green is open ahead and people are waiting on the tee behind them.
As one who abhors slow play I was responding to the OP's contention that delays due to cart girls are completely acceptable, while delays due to poor golfers is not. Seems that any type of delay should be unacceptable, especially for the best course in his state, as he describes it.