You should absolutely change your tires regardless of use by age (this isn't just a McLaren thing). Tires dry out over time and become unsafe.
For any sort of performance or classic car, good tires are paramount, you are literally entrusting the car and your safety to the road contact and adhesion of each tire.
US dot tire age location: https://www.tirebuyer.com/education/how-to-determine-the-age...
[0] https://en.wikipedia.org/wiki/Paul_Walker#Death_and_legal_re...
These are all ballpark values I have found by experince, and hersay at the track and on the street. I personally find Blizzak and Nokian to fare best in the winter tire niche. They are both good snow/ice hybrid design now, and often used in rally/rallycross.