yes they do fail, fail at the OP's expressed goal which is
longest battery life.
The battery still works. You don't have to take it out or find/buy
another set. You do have to remember to use the charger and if that's a
problem then the MX700 isn't for you. If you use the charger then the
battery may not become discharged beyond useability for years (long
after your alkalines are dead).
The mouse MUST be returned to the charger every few days,
that is the shortest battery life possible from a cordless
mouse.
No, that's what keeps the battery from dying.
You seem to continually ignore this is NOT what the OP
specifically asked about.
You seem to be ignoring the possibility that the reason for the post in
the beginning was that the OP was tired of changing batteries so
frequently.
You're also ignoring the fact that the remark about rechargeables only
mentioned batteries so quite possibly was speaking to the option of
using rechargeables with the current mouse. It was an ambiguous remark
at best.
If I were having a real conversation with this person I would ask, "Why
do you say you'd prefer not to use rechargeables?" The answer might be
one of the following:
A) I like to pollute the city dump with alkaline batteries.
B) My mom works at a Duracell alkaline battery factory.
C) I don't want to have to remember to keep the mouse on the charger
when I'm not using it.
D) I'm sick of changing batteries and I asked the question because I
want the longest possible time between having to open the mouse and
replace the batteries. Rechargeables would still need to be taken out
for exchanging/charging.
If the answer is D then I'd say, "Well you know if you get a mouse with
a charging stand then you'll get the longest possible time between
changing batteries." To which the reply might (or might not) be, "Gee
thanks, I hadn't considered that option."