Sort of like Tiger Woods' driving in a round of golf: He might hit the fairways 70% of the time, or 90%, or 67%, or something else. So, it's a good thing the JREF doesn't sponsor the "Golf Driving Challenge" -- Woods wouldn't qualify to be tested.
Tiger Woods actually hits the fairway 63.43% of the time this year:
http://www.pgatour.com/r/stats/info/xm.html?102
He's ranked 93rd, so he's hardly leading the category this year. Note that if you keep good records, it becomes fairly trivial to determine your success rate.
Given an accuracy of 63.43%, and a baseline performance of 50% (which is probably somewhere about right for the set of all golfers that play as often as Tiger does) one could craft a test to determine if Tiger did have such an accuracy. You could have him hit 250 drives and 150 or more fairway hits would have odds less than 1:1000 if his actual ability were 50%, but such a performance would have an almost 87% chance of happening if it were 63.43%. Now, even at a pretty strong pace of one drive every 2 minutes, that'd still be 500 minutes, or about 10 hours with a few breaks. Any reasonable person wouldn't fault Tiger for a dropping accuracy after such a long test, and so it would seem unlikely such a test might proceed.
Now with someone like David Toms this year (74.25%) it's a little easier to distinguish him from a 50% fairway hitter. A trial of 60 drives with a performance of 43 fairways is enough to state with 99.9% certainty that he is not a 50% hitter, and still give him a 73% chance of success if his skill is really 74.25%. With generous breaks seems you could get through that in 3 or 4 hours. If you're willing to add a few more trials you can improve his chances further of course.
What is really driving up the number of trials is that the ability appears to be wrong most of the time it is needed. Since a person guessing has a 50% chance of success, a 70% performance means it's only improving 20% over the norm. Looked at that way, it means when the guess is wrong, the ability can only fix that situation 40% of the time. Now, you could argue that it fixes wrong guesses 60% of the time, but ruins a correct guess 20% of the time, but overall I'd say either case is about as "impressive".
What would probably help is if Pavel were to actually try one of the protocols for a while and establish a baseline performance for him. The performance over 100 trials gives a pretty good comparison. From there, Pavel could try a few modifications to see if the success rate can be improved with changes.
I'd suggest that it'll take 10 times the length of a final test to really establish parameters that'll work. I don't think the JREF or the readers here (myself included) believe Pavel has done 1000 trials to be convinced the proposed 100 trial test is viable (even if it WERE approved).