I've read those batteries don't last very long hence, the choice for something else. I don't know if silver oxide batteries are available in the 625's or not. There's a place close by that specializes in batteries only and I'll drop by to see what they have. Will the 675 batteries fit the FTN battery chamber without any modifications like a brass bushing or O-ring?
Resurrecting this topic because I don't recall if your question was answered. Unfortunately I don't have the answer either. I don't own an F with the Photomic FTN fnder, so I don't know how the voltage is picked up. But I do own an F with the early non-TTL finder -- the one with the round window in front. That camera takes its + voltage from the
side of the battery compartment, instead of the cap, which is the way most other cameras do it. So, to use a 675 in it, you need to either buy one of the metal rings, like the ones that Jon Goodman sells, or fabricate something. I've used aluminum foil. I cut it into about a 6" x 2" rectangular piece, fold it over and over lengthwise and then trim it up so that it's a long strip. Then I coil the strip around the battery, and stuff it into the battery chamber, making sure it doesn't contact the - terminal. This works well.
I have to do this with one Canon camera that takes these batteries -- the EF. All the others that take the old mercury battery, at least that I know of, pick up their + voltage from the compartment cap.
As others have stated, the Alkalines have a discharge curve that makes them unacceptable for meters without a bridge circuit. The 675 zinc-air battery has a discharge curve that is virtually identical to that of the original PX625. Long and flat with a rapid fall-off at the end of battery life.
By the way, if you have a Costco card, or know somebody who does, you can buy from Costco the 675 batteries that come 40 per card for $10. That's 40 cents each, so who cares if you get only 9 or 10 months out of a 675. Just toss it when it loses power and install another one. I have several cameras that use 675s, so I just toss a few in my camera bag before I head out.