To be honest, no, at this stage, I don't think it will have much impact on your dog or your training progress. I think what is far more important is that the dog is getting a variety of stimulation and fun, which it sounds like it is.
However, should you ever wish to pursue something like competitive obedience, where the style of sit becomes vital, for example, then you might run into problems. If one of you let's the dog get away with a 'lazy-sit' while the other is training for a competitive sit, then I suspect this may begin to hamper progress, but even that is quite a remote chance.
In my experience, dog's are masters at putting things into context. Your 'sit' will sound completely different to your dog than the 'sit' issued by your husband. It may well end up that the dog learns he can get away with things from your husband that you won't allow, such as a lazy sit. Then there's the difference in voice as well. All these things add up to the dog, so I really wouldn't worry about it at all.
Again, in my experience, the dog will ultimately respond the most positively to whoever rewards the most liberally and the most consistently.