The reality is, batteries just aren't really a great thing to store without purpose or use. In many ways, its like keeping a petrol can in your house, then complaining about the smell. There's an inherent, systematic risk they will self discharge and cause problems. This can be reduced by quality, matched cells, periodically monitored, with or without a BMS. Some chemistries and formats tend to be safer than others, sure, but still. Its literally keeping a store of energy in one place.
LVC is not the only reason to have a BMS. BMS itself is a pretty undefined term which can range from being a basic alarm right through to bluetooth alerts via your cellphone including real time voltage per paralleled cells. Balanced charging, temperature cut offs or reporting via bluetooth, high voltage, low voltage, high current, low current... the list goes on, depending on the functionality of the BMS itself.
The lack of clarity on the definition of a BMS, and the subsequent discussions about specific issues has driven me a little crazy recently.....
A storage mode is right, but switching off the BMS is not the answer. Rather, balancing draw to power it and an ability for store mode to be plugged into the charger charging to an maintenance voltage of 60% (or whatever you deem safe) and leave it to trickle charge when required.