Completely false.
Ligament injuries are orders of magnitude more likely to reoccur after previous injuries. That's not random. Repairs are never as strong as the natural, uninjured tissue was.
Read this...
https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4205204/
Re-tears are 15 times more likely than in the previously uninjured population, and 20-25% of ACL repairs get retorn in athletes. That's astronomical, and very not random.
The study quoted deals with ACLs but it obviously applies to other ligaments as well, and you can find studies that support re-injury rates being higher. McNamara now has both knees compromised, his odds of being competitive next year are probably in the single digits.