So a weak power does require more trials, just as Clarkson says. A weak effect would be just as "paranormal" as a strong effect. It's just requires much more data to prove.
I think we are all agreed that if anyone is to test Beth in the way she desires many tests would be required.
I feel the biggest concern though is that this is a claimant who does not appear to even be sure that she has the ability she is talking about.
There is no logical way she can suddenly have discovered she has this ability as, by her own claim, it requires repeated trials and statistical analysis of the data to confirm it either way.
I.e. one day she just decided she had this ability, without ever having actually observed it in action.
Her subsequent tests may have been highly subjective, and it is obvious she wants to believe she has this ability. Her 'associates'/'partners' seem to be encouraging her (wish we knew more about them).
To take your coin example -
Even if I actually had this mild ability,would I ever notice it? We toss coins rarely and if I happened to get 8 heads out of 12 tosses I would never think twice about it.
I would have to be tossing coins all the time (for some strange reason) to even notice I had this ability. That's if I even noticed in the first place. (I honestly believe if I had the ability to guarantee heads one time in three I would still never notice I had this ability)
And this example talks about something whuch has very clear known odds - 2 possible options. Heads or tails.
A candle flame, on the other hand, is an extremely random thing.
How could anyone ever
possibly detect they had this ability?
The JREF does not serve as some kind of organisation which you can go to if you feel you might have a paranormal ability, but you're not sure, and you want someone to test you to find out and tell you if you do or not.