When you say "containing an AA cell", do you literally mean one cell?
If so, then anything containing semiconductor electronics designed to work from a 1.5V battery (which may be 1.3V at end-of-life) is (given semiconductor junction potentials) sailing fairly close to the wind, so the difference between 1.5V and 1.2V could well make the difference between working and not working.
However, if there are, say 6 x AA cells (as many MFTs), then although the percentage difference is exactly the same as with, the absolute difference between 9V and 7.2 volts is much less likely to cause problems (might well still work at, say 5V).
Kind Regards, John