I went ahead and bought a Must brand 1kw inverter from GW.
They gave me a bunch of settings to adjust:
2: AC input range = UPS
14: battery type = USE
17: bulk charging voltage = 14
18: floating charging voltage = 13.5
19: cut off = 11.2
Its on a hubble s100 lithium pack.
The chg LED never stops blinking when on mains power, and the fans keep turning on with about a 2 minute gap in between.
The screen does show bypass is on from mains to load. BATT is at 13.7v.
Is this normal for the CHG led and fans?
Added an image of the screen and the flashing orange LED.