Actually, as a fact...Near xb1 power for $250 is achievable. Near xb1 power at much lower wattage and stays cool in a handheld form factor is not.
Near xb1 power for $250 (or even cheaper) is called Xbox One.
Near xb1 power for near $250 and lower wattage is called Xbox One S.
Cool and in a handheld form factor............ Well, it depends how you define "near".