Oh, no need to make the requirements that extreme - after all, very few of history's actual paradigm-shifting technologists would meet those requirements.
What those technologists did have which most PCs don't is persistence - and if you set up the tasks for advancement of tech level appropriately, the players won't bother very often. A paradigm-shifting development would take most such technologists anywhere from a couple of months to a couple of years to work through... all with no guarantee of success. Thomas Edison, for example, was by all standards one of the most prominent of those technologists, producing scores of new developments... yet in decades of work, he never succeeded in the task he most wanted.
No, if you set it up so that a player-inventor needs to go through four or five very difficult (or harder!) tasks, each of which takes 1-6 weeks, very few players are actually going to stay the course... particularly if there are additional costs involved. (Assistants' wages, lab rental/supply, keeping the local council/homeowners' association from closing down your lab after the third explosion this week...) And bear in mind that this process will gain the players one example of superior tech... not an entire tech level's worth of products. No, one player is not going to single-handedly uplift a planetary society... not without access to a lot more resources than most of them know how to acquire... or use.
Oh, and note that in my earlier entry, I specifically called out theoreticians. In the case of Leonardo, especially, the majority of his designs WERE NOT PRODUCED during his lifetime... or even anytime remotely contemporary. The materials and the support technology simply weren't there. So he produced workable designs for helicopters... if you overlook the minor fact that it would be centuries before materials science or engine design would be at the point his helicopters required. This would be the position your TL17-designing inventors would be in: "I've got this real neat disintigrator pistol. Now I just need a battery pack with the output of a city power plant I can carry around..."