Sure, Cambridge has some diversity in its student body, but not nearly as much as Harvard. Also, while Brits are generally skilled at ‘banter’ etc., most of the Cambridge students I have talked to (esp. in Math and CS) agree that there is very little interaction between them and people in other courses, esp. between Arts and Sciences.
On grades & workload: the workload at Cambridge is much lighter, at least in CS. You have much more free time esp. considering extracurricular involvement is much less common ad Cambridge.
Even though Harvard students tend not to leave the ‘Harvard Bubble’, Boston is a very large city, with other universities/students, festivals, concerts, food you can enjoy if you wish. Cambridge doesn’t offer nearly as many opportunities in this regard.
Clubs and Extracurricular activities are neglected by the Cambridge administration and not very popular between students. I was not thinking of any club in particular - just opportunities to hang out with other students in a non-academic setting.