While I know that the MDC doesn't care about the HOW of any phenomena and that speculation into the mechanisms of whatever is supposed to be going on is both cart-before-horse and pointless, I can't help thinking that many, if not most, prospective applicants do both care and speculate.
Michel, please forgive me if I've missed it, but have you presented your reasons for the very narrow range of numbers to choose from? You, or indeed anyone, with any education above high-school, should know that the 1-4 range is more misleading than useful.
You say that you "project whole ideas" and not just a number. Would you also say that the idea of 2 compared to the idea of 3 is significantly different from 2048 compared to 4271? Why or why not?
If I were to tell a person not to think about elephants, most would find it hard to remove the idea of "elephant" from their minds. They would not, usually, start thinking about cats (animals) or peanuts (loved by elephants) or even hippos (large gray animals in need of glasses). The idea of "elephant" is pretty specific. Would your "projected whole idea" of a number be similarly specific or would it be more nebulous?
The numbers 1 to 4 are all single-syllable words. A large number, like 842326 (eighthundredfortytwothousandthreehundredtwentysix) is still very specific as a number, but perhaps fraught with difficulties as an idea. If you stick to one-syllable numbers, you still have 1, 2, 3, 4, 5, 6, 8, 9, 10 and 12, thus expanding your range significantly. The 10 and 12 can be removed, if you want them both single-syllable and single-digit.
You said you've had difficulties with "projecting" ideas other than numbers. Did you test for any sort of limits to the idea? The idea of a triangle is simple, both mathematically and as an image but has three syllables, a cat is a much more complex idea but a rather simpler word. (Images of cats have, I believe, been forbidden in the forum, so I'm not going there.)
I will now echo something many have already said. The range 1-4 is useless. You know this. If larger ranges or different "ideas" have not given you the results you were hoping for, you should perhaps consider the implication that your "projecting whole ideas" isn't working the way you think or as well as you think.
Method! Isolate causes! Crash-test ideas! Y'know - science!
The above has been sincere enough and without many of the obvious red flags that would give me a low CR. Thus, feeling full of cred, I'll now share my opinion that it is cause for concern when a Ph.D. displays the cognitive dissonance needed to feel that the suggested protocols are useful, appropriate or effective enough to show much of anything.
I want much of the "supernatural" or "paranormal" or "magic" to work! What a fantastic world it would be. (Not to mention deadly and frightening.) That said, if I want to experience it, I'll read a book, watch a film, play a game or listen to a story, where I know it's all fantasy. To be taken for a ride by sloppy thinking and broken methodology just isn't my cuppa.