Thinking only about the purchase is a quieter mistake. Every purchase will one day be sold, and the pool of future buyers determines the price.
A unit that only appeals to foreign buyers is harder to move in a weak market.
A sensible approach is simple: pick a property you would want anyway, with the permit as a secondary benefit.
Programmes are suspended sometimes at short notice, and a home selected purely for the status proves difficult to let and difficult to sell.