One thing that never seems to be mentioned is that SR44 cells, being silver something or other have a slightly higher voltage than do the LR44 range. Now, I know it's only milli-Volts, but it does mean that certain devices, my digital calipers for one, do last longer. I would also point out that the instructions for my digital calipers, do recommend SR44 cells only.
One final point that I have learned through bitter experience is that high street shopkeepers don't know the difference and will try to palm you off with LR44 units, and can get "upset" when you reject them having asked for SR44 cells.
In respect of Type 312 hearing aid cells, I use these and get them supplied F.O.C in packs of 6 by either the nearest NHS Audiology centres 14 or 27 miles away, or, more conveniently, by either Age Concern or the local library in my nearest town, still F.O.C. I can't be certain, but I suspect there may be other places as well, but have had no need to look for them. The downside, which may be a bit awkward for Peter if he uses non-NHS supplied hearing aids, is that I have had to show that I am a registered NHS hearing aid user, or to say who my GP is.
Peter G. Shaw