The one I purchased was from a company that is no longer in business (Stark Power).
I had purchased (2) because I wanted a backup in case my "experiment" failed early. I ended up just using the other one in my wife's Leaf after her SLA died. I'm actually in the same boat, if I wanted to purchase one "today", I wouldn't know which was the best brand as I still have not had to replace the original.
I can give you info about my BMS behavior, because these do have BMS that do the same thing you mentioned. They prevent over-charge and over-discharge. The BMS cut-off only prevents the battery from being over-charged but it does not "lock" the battery up in anyway because if the voltage drops back down below 14.6V everything returns to normal. What happens to the Leaf you may ask? The Leaf has an open voltage of 15V, but there is always "something" on that system using power so it never gets that high. The BMS works just fine on my LiFEPO4 for over-charge protection. The
over-discharge protection is another story. The the BMS for my LiFEPO4, it will shut-off the battery at 10 V and won't come back until you feed some power back in to wake up the battery. This usually isn't an issue in the Leaf except when you accidentally run down the battery via the accessories. The Leaf will only engage the DC-DC when the battery voltage is 10.5 V to begin charging back up, but if the voltage falls to fast (say trying to turn on the traction battery to power that DC-DC inverter), the BMS will shut off the battery and your Leaf completely loses power like you just unplugged the 12V battery. I've never had this happen to me, but my wife has a bad habit of doing this by running accessories on the 12V battery way too long without putting it in "drive" mode that will use the traction battery to power everything instead. Luckily for me, I don't have to disconnect the battery, just use a trickle charger to feed power back in and the battery will happily reset back to normal.
You bring up a issue that I was not aware of though for battery BMS, having to hard reset after an
over-voltage or
over-discharge event. Seems you would have to contact the manufacture first to get an idea of the behavior for this as it seems they all vary. From my experience for the past decade, all the BMS that I've used with LiFePO4 have behaved the same for me. The brands I've used vary from Energizer to Duracell LiFePO4, but not any Amazon brands for example.