I feel like Starlink could at least partially mitigate this by supporting IPv6. T-mobile US supports IPv6, and I hardly notice this as an issue on my phone. Or the time my work ran the business over a 4G mobile while waiting for ISP install.
Things you might use an internet connection for in your Tesla include triggering air con remotely, live traffic and satellite maps, streaming music or online radio, web browsing, or YouTube/Netflix/Disney+ clients.
It completely refuses to use IPv6 over mobile or wi-fi. Also it refuses to access anything over IPv4 (apart from DNS) which resolves to an RFC1918 address, even if it's connected to said RFC1918 network.
So yes, Starlink and Tesla are different companies, but I see cultural parallels which I'm sure surprises nobody.
FWIW there've been hints from time to time that Starlink was working on IPv6; users reported being given working addresses. That mostly stopped though when they handed over ISP operations to Google last year.