I couldn't quote a specific refusal but have seen enough from the FB Group to know it's grey enough not to be relied upon.
Just to follow up on the tyre thing...
The "official" line, this is where the "50 mile" radius comes from, but I'm sure I've seen it worded elsewhere to look more like "within 50 miles of a service centre":
Customer Support & Roadside Assistance
"In some markets, our trained tow providers carry a limited number of loaner wheels to quickly exchange for the damaged wheel so you can continue your journey... Tesla will cover up to 50 mi (80 km) for a trained tow provider to assist you with a flat tyre."
But bear in mind wheel swaps can only take place while service centres are open, so if it's early/late/the weekend/a bank holiday you'll have to wait.
A quick search to find anecdotes from the Tesla Owners Facebook group produced the following examples:
- 26th August 2018, double blow-out in France after hitting debris, driver advised by Tesla roadside assistance to contact insurance company for recovery (to be fair this might have been treated as damage from an accident rather than a simple tyre issue);
- March 2018 Roadside contacted at 4 p.m., estimated a 4 hour wait for a recovery truck meaning that it would be the next day before a replacement tyre/wheel could be provided (the local service centre shut at 6.00);
- December 2017, 4 hour wait for roadside assistance to arrive, no tyres available, it took 2 days to source some.
To balance this there are plenty of "above and beyond" stories where Tesla staff have saved the day.
In general you can expect quicker response from a dedicated roadside recovery provider (AA, RAC, Green Flag etc.) who can take you to a local tyre fitter. Also useful for other things Tesla don't cover like a cracked windscreen making the car un-driveable.
Some people also carry a spare tyre due to the difficulty of sourcing certain brands/sizes. I've decided to chance it (and retain all that lovely frunk and boot space).
It's not something to get overly hung-up about but better to be aware of the possible scenarios if you just stick with Tesla's roadside assistance.