The BM2000 has a lithium battery setting, but still does a poorer job than the BLE Lithium model. Monitoring a current across a shunt is the most accurate, but they are normally expensive choices.For lithium batteries the type of battery monitor required is one which actually "counts the coulombs" going in and out... e.g the Victron BMV-712 Smart which is Bluetooth-enabled. The flat discharge curve with sharp "cut-off" of the common LiFeP04 "deep cell" vs. a more gradual degradation curve for lead acid batteries, renders traditional monitors somewhat problematic.
Luckily many Lithium batteries have apps which are better than both the BLE and BM200 - which monitor the current through the BMS. But most Lithium battery apps I have seen do not keep historic data, which is what I get from the BLE.