The question to ask is 'how much of a factor is random chance in the action, and could one or two discrete tweaks of random chance meaningfully alter the outcome', and that's a matter to be debated among the thread rather than outright asked of the QM.
Picking up on this point, I think that there are three logical steps to the Lay the Foundations:
1) Does the representative of a given tradition know anything about Waystones? If not, they're stuck listening
2) If a tradition knows something, can their representative describe it in a way other members can understand
3) Can these explanations by synthesised into a consistent framework.
Now, the Gambler can't effect step 1. The person either knows something or they don't.
It can effect step 2. These are people who use a variety of different arcane languages* to describe magical phenomena. I don't think anyone here has learned more than one of them, so there is no one who can do any direct translation from one arcane language to even one other. That means that we probably need to translate everything into mundane languages, probably Reikspeil, which doesn't have the vocabulary or grammar that you want to talk about magic. On top of this even wizards from the same paradigm sharing the same language find it very hard to teach each other**. Here we have different paradigms and different languages. As a result, the use of metaphors will probably be absolutely critical. Luck plays a massive role here, as a participant happening to chose a particularly good one because they've been inspired by a random event they saw could lead to a sudden outbreak of understanding that can be built on.
For three, inspiration is probably also critical, and the Gambler can once more play its part by generating random phenomena that trigger the right kind of thought.
Creativity and inspiration seem like things that are so path dependent that small nudges can have huge impacts.
* Aonoquean for the Grey Lords, Lingua Praestina for the Collegiate Wizards, unknown for the Hags and Ice Witches, but could be different or the same, another unknown dialect of Makick for the Hedgewise if they're here, and probably Arcane Khazalid for the Runesmiths.
** In retrospect we should have tried to recruit the Bright Lord Magister who made MAP into MAPP. He clearly had a knack for translating between paradigms.