I don't see that happen, unless Richard of Cornwall manages to establish some powerbase in the empire.
The Habsburgs managed to do this by (initially) adding the duchies of Austria & Styria to their lands and the house of Luxembourg(-Limburg) by gaining the throne of Bohemia.
The Nassau king of the Romans tried to do the same with the landgraviate of Thuringia and the margraviate of Meissen, especially the latter territory was a bridge too far for the upper nobility in the empire; maybe just Thuringia would have been possible, which would have increased the importance of the house of Nassau, but it wouldn't have them promoted to the status of great house, something the Luxembourgs and Habsburgs managed to do with their acquisitions.
The reason for this is simple, in order to be an effective ruler of the empire, you needed at least some powerbase there to have some authority.