"Group facepalm" ? ..... what's, that, a group buy for facepalms ? ..... (LOL
)
Seriously, NO, never mix batteries, except if you're searching troubles intentionally.
You can end with dead batteries, acid leakage, or even exploding cells (mostly in Li-Ion unprotected cells, but also sealed alkaline can explode in certain conditions)
Normally, when is matter of rechargeable batteries, is also a thing to avoid, to just mix identical batteries with different charge levels, like, if you have an apparate with 2 different sets of batteries, never mix the batteries from different sets ..... as example, mixing a full charged battery with low charged ones in the charger, the full charged one go in overcharge and explode ..... same, mixing a low charged battery with a full charged set in an apparate, the low charged one go in undercharge or also in reversal flow, and die or leak acid or burn ..... or in case of protected cells, it don't die but the apparate stop to work and you don't know why .....
Is alway good use is to mark the different sets of rechargeable with different colors or writes, and never mix them .....
Only if you're using primary batteries and don't care about them, e.g. you use them for an emergency use or for a test, and then throw them away, you can risk to mix them ..... still a not good thing to do, but acceptable, in these cases ..... not for normal use.