mostly using bodyweight and fast movements. i dunno much, only read some.

calisthenic uses more calories by doing high reps.

not really, calisthenics also have been widely used to gain muscle, the differences between calist and c.weighliftings is that calisthenics uses more calories than c.weighliftings but not much enough that we could say its for burning fats.
why?because ur muscle would've tear up first before u gets tired by calist.