I have a working Canonet-28 but no mercury cell (1.35V). With a silver cell (1.55V) the camera will obviously underexpose. I am going thru recallibrating it.
Now, on auto, the meter deflects and as you press the button a clamp grabs the needle and sets the shutter speed/stop combo. The camera will default to 1/30th off auto or with no needle deflection, for whatever reason - no battery or no light. If the meter is burned out then it must be replaced. There's a few wires between the battery holder and the meter (including a switch when you go to auto) so the problem could be some poor joint betwixt the battery/meter. Top and bottom off. Look for dirt or corrosion.
It's easy to reverse any other battery - I've done it - but all that happens is the needle won't move. No harm done. Since I don't have the mercury cell I can only imagine you can't do that by the construction of the holder.
I couldn't find a lot on the 28 as the QL-17 is most popular but there is a circuit diagram which is way more complicated than the plain 28 which looks to me as if it is a microammeter in series with a CdS cell and a small (1.5K) trimmer up top, behind the meter itself. Will take a lot of Googling but it's out there.
Cheers
Murray