NP,
I think the people you are talking about would be considered fitness enthusiasts- people who like to stay active and crave variety. These people aren’t specialists. Their goals are probably like- aerobic capacity, heart rate, blood pressure, doing 10 strict pullups, good balance, flexibilty etc.
The crossfit mentality is to get “the athlete” in great “shape”- like able to climb a rock wall, run a 5K, do cheating/kipping pullups, row a boat,perform an overhead squat,swim a mile,etc.
Essentially, not being great at any one thing but good at many. The crossfit style appeals to service people,cops, firemen, etc- people who’s jobs require a wide range of physical demands. they need to be ready for anything- specialization wont cut it. For ex) I doubt every serious bodybuilder can pass a fireman or navy seal test without having other skills/abilities besides muscle/strength.