I'm so sorry you are going through this
Yes the peeing is a side effect of prednisone because the dog drinks a lot more. My dog Kalou
was on it for some time and when she first started taking it she asked to go outside to pee several times during the night. She never urinated in her sleep or in the house; she would always wake me up just by staring at me while I slept! Later on when the dose was gradually lowered, it wasn't as bad.
I agree with you: the quality of Lodi's life is the most important thing.