Seems like the claim for the second one is pretty straight forward to me. In other words, you don't have to have had experience in entrepreneurship to lay claim to second. Indeed, in some respects it's more interesting to ad comm, because you would get more out of that program as you try to pursue entrepreneurship.
The first program could be considered to be less compelling in some respects because it matches so closely what you're already doing.
I think some overlap is good, but too much overlap begs the question, why is the person pursuing this?