I live in LA and go to Mammoth almost on a weekly basis during the winter as I have a place there. I've researched this issue inside and out. It would be a royal pain if I had to put on chains every time I get into Mammoth Lakes so I found a much better solution: ALL WEATHER TIRES rated for snow. I'm not talking about all season tires with just the "M+S" icon. These don't do anything for you in snow and ice because they're only designed to grip over a certain temperature (around 7 degrees Celsius or 44 degrees Fahrenheit), which is why you need chains even with an all wheel drive vehicle like the X. The rubber used in M+S all season tires gets hard as a hockey puck and loses all its grip at low temps. Snow rated all weather tires on the other hand are designed for use BOTH in snow/ice AND in warmer weather. They're not quite as good as dedicated snow tires on snow and ice but they come pretty close. They actually have a little "Snow Peak" icon stamped on the tire that shows that they're rated for extreme snow conditions. The only catch is that it's a new technology and it's more common in Europe than in the US so the models and sizes available here are a bit hard to find.
I use Toyo Celsius tires on my 2016 Model S 90D. I'm about to trade it in for a Model Y and I already ordered the same tires for the Model Y.
I actually even have a set of tires for the Model X because I thought I would be buying one to replace my S. They are the Michelin CrossClimate SUV and they also carry that same snow peak icon. They're for the 20" tires of the model X. I've never used them. If anyone here is interested I can offer them at $750 (50% off) as I won't be needing them and they take up room in my garage
Picture are attached.
Unfortunately I can't ship them so you'll have to come and get them in LA. There is one set of front tires: P265/45R20 and one set of rear: P275/45R20.
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