So, they're pretty much the same except no interweb with bluetooth.
Wi-fi is way better then, if you have it you don't need bluetooth.
If you have bluetooth you still need Wi-fi.
Maybe not need, but why the hell would you get one without it then?
No, you can get the internet both over WiFi and Bluetooth.
The difference is that Bluetooth is simpler, both in good and bad ways - very generally the advantages are mostly while 'in the field' (lower battery usage, easier to establish basic one-to-one connection between two devices, etc.) and disadvantages are more relevant when back 'home' (limited number of simultaneously connected devices, slower transfer speed (cannot stream video smoothly)).
Personally I would have gone with Bluetooth in the camera for increased simplicity and better battery life. But I can see the attraction of WiFi (come home and copy videos directly to multiple computers and the network drive, stream videos directly to a smart TV, etc.).