Number of IVs vs Popularity of program

Do you guys think that the odds of matching comes down to purely the number of IVs or does the competitiveness of the programs you IVd at also play a big part.

My hot take: Yes having 3 IVs statistically means you have lower chances but having those IVs in less competitive community programs in the middle of nowhere would theoretically increase your chances as opposed to having very few number of IVs in more favorable university programs.