With my JK BMS, It does not talk directly to my Schneider inverter, but now that I have been up and running a few weeks, I can honestly say I don't think it is a problem. I set the BMS still well in safe limits of each cell, and then set the inverter/charger even further inside of the safe area. As long as you are not trying to get every last watt hour out of the cells on a regular basis.
The inverter/charger just does it's thing and the full pack voltage is kept within safe limits.
The BMS does it's thing, and works to balance the cells. If any cell can't stay in balance and does end up going too high or low in voltage, then it will open and shut down the system. It may not be graceful, but it will protect the system. This should only happen if a cell is actually going bad or there is a bad connection in the system. The only real advantages of having the BMS talk to the inverter/charger would be that it could do a softer shut down when there is a problem, and/or it could see a more accurate state of charge if the BMS does good coulomb counting. On a 14S (or 16S) you can leave your full charge voltage a volt low, and low batt cut off 2 or even 3 volts high and the cells can get pretty far out of balance without causing a problem. Monitor the cells in the BMS and see if they are holding or drifting out of balance. If they can't hold balance, you should look into why. More balance current can help a small error in the matching of the cells, but a weak cell bank is going to both charge and discharge faster. If you consistently see the same cell going higher while charging, and lower while discharging, then you know that cell (or group of parallel cells) has less capacity than the others. And if you see one that stays lower while charging, and hangs higher while discharging, than that one has more capacity. If you run a few cells in parallel, you should be able to find a strong cell and a weak cell to put in a group together to average it out. If you find 14 weak cells, put one in each group of a 14S pack. The total amp hour of each group in a series string should match as close as possible.