The effects of the twin paradox would not benefit too many people. Even in the most extreme examples the time it takes to make the trip would extend beyond the time that would elapse at the point of origination. The only reason for this could be the expectation of advancements in science, and wanting to reach that point faster. There would be no practical reason to have the experience.
Verifying the twin paradox would only create some very confused human beings. Someone who tries to fast-forward to the future should only do so for medical reasons. Otherwise, those people who accelerated close to the speed of light would return to Earth very confused, even with a 10-year jump. Verifying the twin paradox would be neat, but confusing.
No, the verification of the twin paradox by a physical demonstration of it would not trigger a rush of space tourists hoping to shift slightly forward to the future, because even if it were possible, it would still be very expensive to do. Most people would not want to shorten their life on purpose.
The verification of a twin paradox by physical demonstration would not increase space tourism because the people that could actually afford to travel. Such a small minority of the population could stand the physical limitations of space travel that this would not make any difference. Space tourism is still a long way from happening.
I do not think that space tourism will need or benefit from the verification of the twin paradox by a physical demonstration in hopes that the tourists can shift slightly forward in the future. I think that space tourism space tourism will be popular among the rich regardless. And I think some will be too afraid of it.