honestly all you have to do to get into law school is get good marks and a good lsat. Its not based around who you know.. its not a conspiracy to keep you down, its just there are literally two criteria that generally dictate your experience when applying to Canadian law schools, because believe it or not, most peoples' EC's and LOR's are largely the same anyways. its really confusing to me that you seem perplexed about or resistant to the fact that people who are "100% in every aspect" are much more attractive candidates than the applicant with the average LSAT or GPA. that's not confusing or surprising....at all.
ps. they don't want everyone to get in to programs like medicine, law, and dentistry because NOT EVERYONE is capable of providing a high level of competency to their clients in these fields where things have very real consequences if services are provided inadequately. So far the best way we seem to have of separating people with the ability and skills is differentiating among GPA's and LSAT scores.
I do understand your desire to get in, and maybe you do have a chance but I have a lot of friends who failed to get into medicine but instead of acknowledging that their choices had something to do with why they didn't get in, some type of inner defence mechanism kicked in where they made up a narrative like yours. Maybe to protect themselves from facing that fact so I just had to say this and get it off my chest.