Indeed, but ...@JohnW2: I'm glad you're happy. I don't think it's easy to think about because there are so many different levels of physics involved. From 'conventional' current, to what actually persuades an electron to move. Potential gradient at that 'physics' level is a rather obscure characteristic.
... except that (as is the case in the 'balanced' scenario) if there is zero current, then resistance becomes irrelevant, and uphill and downhill therefore again become less easy to think about. That's why I moved to the 'unbalanced' situation (with one relay drawing x A and the other drawing y A) to help me understand. In fact, that was just an algebraic generalisation of what I first did to 'satisfy myself', with currents of 1 A and 3 A.... At a classical level, I think that accepting that all wire has a finite resistance helps somewhat. At least with that in mind, there is always an uphill and downhill.
As I said, the silly thing is that it was so 'intuitively obvious' that it would work, that I would simply have 'done it', had I not started thinking!
Kind Regards, John