Sure, but suggesting that its more "reasonable" to move out of these areas than it is to increase funding to these areas makes me question if you understand why they are in these areas in the first place, and the difficulty in moving.
I'd also like to ask where exactly are they supposed to be moving to?
The types of infrastructure a lot of these places need, particularly in larger cities, is almost impossible to build based on space, cost, and a lack of viability for investors. Once it's no longer viable for the private sector to invest in building out these areas (it isn't) then you're dependent on government. And in most of these situations it's the government who's allowed or engineered this situation in the first place.
As far as moving out, those who can should. Not everyone will be able to. Many of the people we are referring to aren't homeowners and already depend on subsidized housing. I can't speak for all cities, but in Charlotte there is plenty of subsidized housing that cost roughly the same (income based) and in nicer areas. For example, in my building there are a few families who have moved from Brookhill to my building and the parents are seeing that their children are benefiting from the new school district, the support from their neighbors, and the overall better quality of life.