I doubt Hudson will ever be the shooter House is. House is a 40% 3pt shooter for his career, able to fire up 7-8 triples per 36 minutes and to score in bunches off the bench. What's there in Hudson's record that suggest he can even come close to this kind of production?
I admit it's fair to suggest that Hudson will be a better all-around scorer. But most of the role-players in the league stay around because they're specialists, not due to their versatility. Guys with well-rounded games, who are decent at a lot of things but aren't able to do anything at a very high-level, generally have successful careers in Europe, not in the NBA.
Defensively they're similar players: good effort, subpar lateral quickness for their size. House has the savvy and the experience that Hudson still lacks.