All the high capacity low voltage inverters for mobile use considered "high quality" (Magnum, Victron, Xantrex) seem to be LF designs, there must be some advantage to it for that application.
The only place I have seen HF inverters in common use is grid tied solar, using high voltage arrays and no real need to support surge capacity since the grid is there for that. My dads 7kw array runs 300v to a SMA HF inverter with 97% effciency, but with the grid down it only has a 1500w emergency output on it. It's a beautiful thing seeing it hit 6+kw in full sun.