Just had a quick look.
The Spotmatic F I have an AG12 in, it is the one in the picture with the black plastic battery holder.
The other Spotmatics I have AG3s with O rings.
The ordinary Spotmatics (ie not the F) have the white plastic battery holder, which from the badly out of focus photo you can see it has a taper at the bottom, which prevents the AG12 from fitting.
View attachment 391979
Another point that needs making, is the statement that it make no difference which way up the battery is fitted is
only true when the meter is centred.
But the direction the needle moves when changing shutter speed or aperture with reverse when the battery is reversed.
And no difference when it is centred is theoretical, because ageing of the resistors in the circuit may change that too.
If you use an AG12 on the F, and install the battery correctly, you need an O ring to prevent the battery shorting on the battery cover lip.