Just like the grocery story, paper or plastic. One is natural, the other not.
Pro - Leather, looks good, smells good, feels good, ages with patina, breathes, better resale (?).
Con - Wears out, cracks, needs care, is more expensive
Pro - Vinyl (Tex), looks good, lasts forever, easy care, less expensive
Con - Not as good looking as leather, doesn't breathe, doesn't develop patina, hot and cold with the weather
Here's how TEX looks after 45 years
GAHH is a source to start looking.