When we are talking deer dogs , unless the dog breed or type has physical issues its more about how you bring them up ! I have seen a few terriers , sheepdogs ( the latter are very often gun shy , but look what they do for hill farmers ) . Tackels are nothing like the labs i use but they are both employed to do the same job a different way . I have had GWP and Labradors as deer specialists , cannot see me ever having anything instead of a Lab now and look at the breed generally these dogs are the most popular in so many work tasks not just shooting related ones either ! ... They have the size to do what smaller deer dogs cannot physically manage . One of our youngest established breeds of dogs but look at how they have taken over in so many lines of work!
Choose what suits you though or what you have available because deer are the natural prey of all dogs it must be hard to find a dog that was totally, utterly 100% useless after some training with heads , skins and blood etc.