Presumably if you are in a higher cost of living area you chose to live there because you obtain a higher standard of living (otherwise one may want to re-think that decision). Why should that be subsidized by your peers? Maybe I should get a raise to buy video games?
>Presumably if you are in a higher cost of living area you chose to live there because you obtain a higher standard of living
right, or you were born there and have obligations and connections that keep you from saying well I am going to move now because my computations indicate that will be the optimal result!
At any rate, if I am in a higher cost of living area and your company will only pay the wage that fits the lower cost of living area that obviously means I will not work for you, and I think that is the case for anyone working in higher cost of living areas. So if you want to hire someone in higher cost of living areas you will have to handle that situation. And then we come back to the considerations that the parent poster said.
High cost of living area sadly doesn't mean a higher standard of living. For example, the living standard in UK or London is much worse compared to other countries in Europe (e.g. Netherlands or Belgium).