Not so much “very powerful strobes” but strobe that has a wide angle of light distributed.
I do not agree. If you are shooting against the sun in shallow waters with a DSLR which it's impossible to speed up more than 1/250 sec or you have a couple of very powerfull strobes which allows you to close the diafragm or the sun will be "overbusted". This will not happend with a compact camera system which you can speed up untill 1/2000 or more due to the shutter system. This together with the smaller size of sensor will allow you to use less powerfull strobes, but the quality of image will be significantly lower