ROUND 1 .....
Not fake lithium 18650 they sold no less than 6~8 Euro its one.
The Bosch thermal sensor it will stop the charge at 50~55C , basically this stops from charging a battery pack this left under the hot sun in the summer.
Your BMS does not look like this having it own temperature sensor, and it should have one, because this is now their protector.
One of less important issues that you will face by using original charger, this is that at charging cut off, the charger will still deliver pulse voltage that the energy will be very low so to be used from the BMS balancing circuit (if there is one at charging mode).
Most cheap BMS they are capable at balancing due discharge.
You may add too small female banana plugs at the Bosch charger as I did too, by this way you will be able to monitor the charging voltage.
ROUND 2 ....
If you think going 100% Lithium?
I can pass one second advice only if your Bosch charger this using a real AC/AC transformer, does it?