-
The voltage on the BMS output and the battery will be the same, minus any voltage drop along the wire between them.
In fact, you can test if the battery is charging by connecting a voltmeter to either end of the same wire between the BMS and the pack. If there’s any current flowing you’ll measure a small non-zero voltage due to the voltage drop. If it’s zero, nothing is happening.
Edit: I did think the battery management system could be the culprit, so measured the voltage leaving the BMS and feeding the battery and that seems to be 32V, perhaps a bit low, but thought it might be balancing its output with what it’s detecting from the battery?