So you have the 1/4 hex shank collet on both tools then and not a 3/8 chuck on the drill?
I have 2 similar 1/4 shank drill/drivers. One is the
12v Fuel. Milwaukee calls theirs "screwdrivers"
The old 2401 is not overly powerful but its a great little tool. Super lightweight for bench assembly and ideal for something like appliance repair or oil burner service. Somewhere you have a lot of little screws and don't want to over torque them.
Amazon.com: Bare-Tool Milwaukee 2401-20 M12 12-Volt Li-Ion Subcompact Driver (Tool Only, No Battery): Home Improvement
I like the idea that you cant lose a drill bit when your up on ladder. (and obviously using hex shanked drill bits) Dang 12v Hitachi drill driver we had never failed to drop a bit. I honestly don't know why the chuck kept loosening up. I always thought that it was the abrupt stop from the electric brake.