Alright, couple things, some of which have been touched on.
First and foremost, the Genesis batteries are NOT UN38.3 certified, nor are the ones that are sold by Fathom. They live in a gray area the same as the large size canisters from Light Monkey in that the individual cells are, and they are technically disconnected, but as they are still in the same pack it is very much against the actual rules. Does it matter/will you get in trouble? Probably not, but people have had their supposedly UN38.3 compliant Light Monkey packs confiscated because they were over 160wh so if you want to risk that then by all means go for it.
The PTB's are there to remove liability from the manufacturers as well as the cost/hassle of having to deal with them. For the vast majority of divers a 12ah Blacktip is more than enough. A few years ago a UV18 with ~400wh of capacity and a UV26 with ~600wh was considered a really big DPV. The Blacktip is in line with the UV18 in terms of range/speed/etc and is more than enough scooter for anyone except long range cave divers.
The strap system/having to remove the batteries to charge is a consequence of this design, but up until very recently the Genesis was the only DPV that didn't have to be opened to charge. Dive Xtras has chosen to run the PTB's in series on their low voltage side. I have not asked them why, but the obvious reason is to have a "limp home" warning if one of the packs dies and the voltage is cut in half. If they were run on their higher voltage side of the Flexvolts then they could be charged in the DPV and you would have higher power but wouldn't easily have the warning if a single pack failed and that could be a problem. There is no "push pull", the brushless motors operate under full voltage at all times and the frequency of the pulses are what is being controlled, essentially pulse wave modulation which can also run brushed DC motors to simulate a lower voltage, but in this instance it is controlling the specific RPM of the motor, very similar to how EV's work and industrial machines that run with variable frequency drives. This is done with most modern scooters with the exception of the SS Viper and the Suex DPV's. I'm not aware of any other commercial DPV's that still run on brushed motors.