No, being packed in does bot always help there. Believe it or not some of the biggest bulls during the rut will be within 2 miles of Alpine. Every year there is 350-370 type bulls rutting in and around Williams Valley and Luna Lake/Frisco river. Generally every local with a tag will be chasing those bulls and usually one or two get killed but you can literally drive a truck up to them and load them whole if you are lucky enough to get one. The wilderness areas have just as big and bigger bulls and will probably be less crowded but not near the number of parks and cienagas as you will find on the North end. Good luck.
Bret M.