I haven't seen a single power FET that isn't rated for full forward current in the body diode.
Possibly RF parts, but that might be as much because, if you inject charge carriers into the slow-ass substrate junction, it freezes up like a PIN diode. RF transistors are rarely rated in usual terms, anyway.
Even the GaN SOI (semi-on-insulator) parts, that well and truly do not have a channel-substrate junction -- for familiarity's sake, they are still rated as if they have them. The similar behavior arises from Vgs(off) being fixed, since sufficient reverse bias simply turns it on in inverted mode, as any regular FET ought to (but usually doesn't because body diode Vf << Vgs(th)).
(And yes, the GaN SOI parts should use a different symbol to reflect this -- I believe the manufacturer's recommended symbol is the traditional one, omitting the arrow and substrate connection since they are indeed physically absent. You could also use the easily drawn insulated-gate-over-a-channel symbol, from IC-land, though an un-dashed "channel" is supposed to mean depletion mode, which they aren't. But that would be clear enough from the circuit, so it's not a big deal in my opinion.)
Tim