If someone offered you a healthy parrot - of a species you really like - right now with cage and supplies included at no charge and you had to make an immediate decision, would you take it?
Of course this is hypothetical and the question is more about your attitude and desire for another parrot rather than the mechanics of making such decisions or the quality of the bird acquired in this manner. You can think of it as a circumstantial rehoming and not getting rid of a bad bird. Say a friend got ill or someone went bankrupt and wanted to give away the bird to a caring home. What do you think? What species of parrots would fall into this take on the spot decision for you?