If you’ve been following the Starlink beta program in the news, you’ll note that it’s very much still in beta.
From the Popular Mechanics article:
"So how will Starlink’s WiFi service work in the skies? It’s both harder and easier to make happen, depending on your criteria. Hofeller said that SpaceX will design and fabricate new antennas for the airline industry, similar to the ones Starlink already uses for ground internet service, but “with obvious enhancements for aviation connectivity.”