I'm not an expert, but here's my opinion. PX625 batteries kept voltage level rather straight through their useful life IIRC. Modern batteries like SR44 don't, and they also have slightly higher voltage. Therefore, as the voltage drops, you will have to recalibrate constantly. That's not practical.
From what I remember from electronics I was taught, you need a zener diode and a resistor to make an adapter. The meter's circuit is then fed with the voltage from the edges of the diode which is constant. You may be able to make one, but you'll get Dr Frankenstein's Lunasix 3