That's a questionable leap. It's like giving a person a cook book, an apron, some pots and pans, and asking them to learn to cook in a make believe kitchen. Put them in a real kitchen and they might be able to make a meal, even a simple one. But probably not.
And if you ask them to do it in a professional kitchen under pressure, on their own, with no mistakes the very first time, they will surely flounder. This is because they have never really learned the foundational skills. They have only visualized and gone through the motions.
A competitive martial artist can have gaps, but they are applying skills in context and under pressure. They are more like the home cook. Put a home cook in a professional kitchen and they will have a clear leg up on the pretend cook. How well they do will depend on how experienced they are cooking at home. ask them to do something they have never done, and they're in the same boat as the pretend cook, with one exception. They will be self aware. And if you ask them to cook something they're familiar with, they will do just fine.