I'd like to repair and re-use a small Bosch electric screwdriver. It currently has a battery of 3 small AA-type rechargables (unmarked cardboard wrapping) that has almost the same occupancy volume of a single 18650 Li-ion cell. The existing battery pack has an inline diode between the charging contacts and the battery pack.
I know about the risks as shown in Replacing NiMH with Li ion.
My key question: I want to re-use the two contacts on the base of the scredriver that connect to the battery for recharging. I have an existing external Li-ion charger (so not use the dumb AC brick that came with the drill). Should I (a) use or (b) explicitly not use a diode between the contacts and the cell for short-circuit protection?
Without a diode, I have a small risk of short circuit if something touches both contacts (small, because the contacts are recessed). With a diode I have a voltage drop that can interfere with the voltage sense of my charger.
I'd prefer not to throw away this otherwise perfectly functional screwdriver, and I'm not sure where to buy the same kind of NiMH battery pack.