the intuition behind the OP seems valid, but i wonder if it would succeed given the American concept of 'vacation.'
Americans (compared with Europeans, for instance) view vacation quite differently--in the quantity available (2-3 weeks versus 4-5 weeks); in the amount they can afford to spend on a vacation (in Europe, disposable incomes are generally lower and must be spread over a longer vacation period); and perhaps most of all in the general perception of taking vacation (ie, in the US, i have noticed many people don't even take all of their vacation and brag about that fact). w/r/t the latter point, it almost seems to me as if vacation is viewed as a sort of convalescence--ie, well it's available if you need it, but if you are strong enough then of course there will be no need.
The fact is that our jobs are not physically demanding; we do need a 'rest' from physical activity, but rather we need to rest our minds. But how do you do that when you take your vacation consists of a few four-day weekends each year in which you fly to an oceanside resort, sit by the pool with your iphone, checking your email. You are still thinking about work because there the vacation consists of nothing to replace the work thoughts. What's worse, is that you are more stressed than ever because you are thinking about work, following email but you are not there in the office to personally ensure everyone is doing exactly what they should be.
When i lived and worked in Spain, i took two multi-week vacations, always of the active kind. I enjoy alpine climbing but hiking/trekking or cycling vacations embody the same idea. The level of mental and physical engagement required means that i'm not thinking about work even if i wanted to (and i don't).