You may remember me referring to the way the 36 volt charger works in my run-down on the Kalkhoff a few weeks back....That's correct Rog, battery on it's LED and label face. They may have used a common positive, but that doesn't fit well with using a BMS for the charge control. An alternative is that they've done away with the monitoring connection on the 36 volt version, perhaps feeling it not as necessary with the much higher 504 Wh capacity. The original 26 volt battery only had 208 Wh (8 Ah) so could conceivably be more subject to stress.
It charges flat out until the battery indicates 'full' and then cuts off quite suddenly. I know this because I had a wattmeter on it during charging. I have a feeling that the battery monitors itself and simply tells the charger when to stop. It's not typical behaviour for a lithium system - most others reduce the charge as the battery heads towards being full.
Rog.