Bit confused...
The LR44 is 1.5V not 1.35V.
As to current. The LR44 and other similar alkaline batteries often don't have the current capacity of the mercury batteries they are often used to replace. Silver Oxide or Lithium ones are better. The other problem with the alkalines is the steady decrease in voltage whereas the mercury ones had a fairly constant output until they died.
It all depends on the camera though. Some will work fine with almost anything if they've been designed to cope with voltage fluctuations and don't have much current requirement but others will either only partially work if they have a high current requirement for some functions or may suffer from exposure variations if they've used a crappy circuit for the meter.
I bought a bench PSU just for the purpose of testing cameras to see what exposure variations they give for a range of voltages and I also measure the current drawn. Then it's possible to make an informed decision as to what replacement batteries will work.
<gripe mode>Unfortunately, there's a lot of misinformation around about suitable alternative batteries and it causes a lot of people to go down roads they don't necessarily need to take. And some of that information comes from people who should know better or who claim to know what they are talking about when they don't.</gripe mode>
If anyone wants batteries for old cameras, I've found the best place to go is the
Small Battery Company.