I can confirm that the Tesla Tire repair kit is useless with the foam filled tires. I had a flat tire on the highway (~60 miles from the closest town). First, the sealant pump side would not work. A little bit of research online showed this is a known issue - use a small aluminum piece to connect the metal plates. Once I was able to do that, I pumped the sealant into the tire. When the bottle was empty, I removed and tried filling up air - no luck! Not even a single psi. I had to get my car towed to the nearest Tesla service center (~54 miles away). When I arrived there, the service advisor said the foam material absorbed all the sealant and hence it did not work. What's worse - since the physical integrity of the foam could be compromised, they had to remove the entire layer just in case it comes loose and starts rattling inside the tire.
5 hours, $122 later...I'm traumatized and worried when the next incident might happen. Basically, it's a stupid design that will cost Tesla owners a sh*t ton of money. My tires only have ~3000 miles on it. But I'm already thinking about getting them all replaced with non-foam. Stupid Tesla designers.