Do not dry your cotton shirts in the dryer. It's as easy as that. You hang them up and let them air dry. They'll last forever.
But I have 90s t-shirts that are just now dying after all these years of being dried only in an electric dryer, and other t-shirts just a few years old that are disintegrating. There's definitely been a quality change in the average shirt.
Cotton shirts aren't valuable enough to treat this gingerly. I hang dry my merino, but it's easier to just buy new cotton shirts every five years or so. That's a good run for clothing.
In New Zealand, culturally people generally use dryers only when it is too wet to hang them outside. Dryers are seen as wasteful and destructive. T-shirts last longer but they do not last forever. Quality has gone down substantially.