
I was wondering if the standard charger and bike would work without the ‘S’ (sensor?) and temperature poles connected?
Depends on how the BMS is made to respond. What happens when you try measuring the battery voltage at the main + and - pins? If it doesn't require those to be communicating / etc with the charger or bike, you should read a voltage on them. If it does require that, then you'll probably get no voltage on them, or a lower-than-expected voltage that will "go away" (drop fairly quickly to zero) with any load at all on them.
It's unclear to me if you are trying to adapt a proprietary battery to a non-factory ebike, or if you are trying to adapt a generic battery to a factory ebike. Can you restate your objective?
Generic battery had two discharge leads. DIY ebike controller has 2 input leads. No issues.