Probably because they are a billion dollar mature company. Every company was a startup at some point but at some point they are a mature company that shouldn’t be called startup anymore. Stripe is certainly one of them.
Well its PGs perspective whose opinion is not accepted or valued world wide, Indian government doesn't consider you a startup any more after crossing certain age and revenue. Also a lot of companies will not recognise you as a startup(for offers) after you cross certain threshold. Stripe is far from that threshold.
This is not a startup by any meaning of the word “start”. He should call it “high growth company ” If you go by growth then Apple may be considered a startup after 40 years in business.