I think he'll be more independent, but not to worry. Hounds are smart, but not obedient. They are bred to find game and wait for the hunter or bring it to the hunter, they are sent off to work on their own. Only a smart dog can do that. They work with people, but not next to them. I think what you have to worry about is keeping the weight off, a labradors ability to put on weight mixed with a bassets short legs could be an issue.