What you have to look at is the state of residual flux in the trans after end of an active PWM pulse, ie during the deadtime. The sec current (motor current ie) and pri flux interact in opposite phase in this period, and whatever topology inverter, it must absorb or dissipate the stored flux (its back emf ie). Experience shows that for larger motors, the bridge works best, due to the fact that it is also a "full-bridge" rectifier connected point-by-point in parallel to an "H-bridge" inverter !!!....got that ?
Secondly, the absence of snubbers, which btw have to be quite hefty (24V pp easily see 200v spikes, under load) otherwise completely useless and fragile, make the H-bridge very very attractive for the motor applications, etc or other inductive loads. Remember, unless you dissipate quite a few watts (15w or so per pp leg, tot 30w), snubbing is futile.
So no question of extra 2 fets in H-bridge and their 0.6V x Itrans power, etc, etc.
In the H-bridge due to its rectifying action at primary side, no matter what the outcome of the pri-sec flux interaction, the resultant emf always gets easily free-wheeled, and thereby returned to the reservoir for next pulse !
Hope you will appreciate, Thanks
(We are in this area of design and manufacturing since 1992)