On the other hand your time becomes more expensive. But since most medium income medium expenses locations means less opportunities to do other things with other people that isn't always a good trade-off. Unless those other people are your family, in which case it tends to make sense.
To invent some undoubtedly wrong numbers out of thin air: Earning £35k in Leeds or Manchester leaves a few hundred more to spend on luxuries and nights out than £50k working in a similar role in London. By the time you accounted for the huge extra expense on mortgage, season tickets to get to work, services and even ignore the price of a pint, you have less in absolute terms to spend than your "poor" Northern friend. I simply couldn't get it to add up the few times I tried. Now had the opportunity been to be a quant, I might have taken the opposite view... :)
I could have saved for deposit in the North, taken mortgage the day I moved there, accepted a markedly worse quality of life and lower money left after expenses for twenty years, to move elsewhere at the end with a nice nest egg. That's just a contributory pension with no tax relief.
The question is whether average person trying to do so is going to have better success in Leeds than London. Or if it is going to be mostly the same thing but with less opportunities. Once you know roughly what you want to do, or what position you are in, medium size cities tend to make more sense. But I don't think that is controversial.
I think many young people argue if they are going to have to change jobs every few years, commute some distance, have high rent or whatever else that affects their quality of life they might as well do that somewhere where they at least think it might count for something. Whether in the future or right then.
Over my career (I did contract in London around y2k) I have more in my pocket each month - after expenses - by staying outside the SE. Rent or mortgage, commuting costs, the price of everything else - food, beer, tickets. Sure, I could earn £x extra and have to spend all of it and more on rent and getting to work.
The capital accumulation on the house would have turned it into making economic sense, and only that. Which only becomes real once you move out of the area.