I did not imply that, though a few people also can get rid of a few kilos after the switch.
But if you are neutrally buoyant, fins are optional, at least for distances up to a few hundred meters.
And if you are not feeling comfortable and in control without, there is something wrong with your training or configuration.
I do support your statement regarding proper buoyancy, but jumping into the water without fins, (unless you're in dead calm water) is a bad idea.
Clearly you have not dived in a tidal surge or any current, or you'd know just how ridiculous that statement was.
Try that at Cabo, or in the St Lawrence (where I'm from) & the dive boat will pick up about 2-3 km down stream.
Mike D