Unfortunately on there are nothing about any "lists of elligible countries".
May be you mean visa-exempt countries? Do not think it refers to them either.
I think it is nothing about "countries" at all. It is about some
conditions (listed in the quote) of ANY of foreign students.
Para 3 says :students who have completed a short-term course or program of study that is a condition for acceptance at a designated institution.
This could be an option BUT it is not clear if you need to get conditional acceptance letter from the uni first? Or you just could go with TRV (or without it if you are visa-exempt) hoping that at POE you will be granted 6 months stay and then enroll into university and take a short term course.
You see it is still a misrepresentation if you ask TVR for a VISIT with a real but secret
intention to go to school.
I do not think CIC incourages it.
Maybe it is still possible if you get a permission for 6 months stay at POE, and start your pre-requisite course not in the next day after you have crossed the border? Nothing is clear right now but it definitely does not allow ANY visitor to apply for SP from within Canada.