IMO rechargeable nicads are NOT as good as alkalines, however the Nimh might be in the running for the AA class but NOT 9v.
Some 9v nicads may have a case that won't fit well in the Tesoro slot. (Mallory is at least .060 thicker than GE.)
I have no clue regarding lithium ion batteries.
However, I'm gonna try a flat pack from one of our RC toys, for entertainment. Just because we got a ton of 'em!
I'll just tape it under the rear of the shaft and run a wire to the control housing.
In disagreement with two posts above, I doubt if the voltage regulator is set to 9v, and also would not use the word "certainly" in regards to depth.
I suspect it is not only a voltage requirement, but also capability to deliver suitable current that may be a requisite, here.
Other factors being equal, a MD using a display in addition to audio would most likely consume more power.
HH
rmptr