YES! Thank you for this post. No one seemed to believe me that the foam was the culprit. Your post gave me the final push to just open it up.
TLDR: FOAM SEPARATION IS REAL, its barely glued on. Mine detached after 2k miles. If you have one of these tires lose balance out of nowhere, go to a goodyear authorized shop and have them open it up right away and save yourself the hassle of multiple balancing attempts (if you don't want warranty replacements, any tire shop can rip the foam out). Minimal/no extra cost to remove tire + balance vs a balancing anyway.
I have the same Goodyear F1s on a 3-week old model Y, and the foam detached. It started to vibrate badly. I tried to get help from Tesla and they were unhelpful, telling me to drive my undriveable car 3 hours to the service center in 2 weeks. I could have it towed, but if it wasn't a warranty item I would have to pay for it. And then fly to pick it up I guess. Then they said they don't warranty tires which was pretty confusing. Went around in circles for a while.
I've learned a lot in the process that I wish I knew earlier, so I hope this helps someone out:
I went to a local shop and they balanced the tire with a LOT of weight (5.25oz). Should be more like 0.25-0.5. Drove it and it was much better (not perfect) then it reverted to major vibration within 10 miles. They balanced it again (with a lot of weight again), saying they weren't sure what the issue was but now its fine. I suggested it could be the foam, they said it wasn't, they checked. I asked how they could know and if they pulled the tire off, they said no, they just tapped on it and can just tell (seriously). Not sure why I accepted that BS response. I didn't realize at the time, but they put the same amount of weight on (5.25oz) except this time on the exact opposite side of the rim (meaning they were now balancing the foam that had shifted to the opposite side). This 'coincidence' should have sparked something for them but I guess not. I noticed it after the fact by the weight adhesive foam left behind.
I eventually gave up on this shop, and on getting answers from Tesla. I called Goodyear (Canada) and they confirmed they don't deal with warranties through Tesla, you need to go to a Goodyear shop (Fountain Tire in my case, they were great). I asked them to pull the tire off first and sure enough, the foam was completely detached. The section that pulled off first (evident as it was folded over) had almost no glue on it, whereas the rest had very small inconsistent beads of a very slippery silicone type adhesive (see photo below, note no glue on lower end).
The tire was clean on the inside, the adhesive completely and easily pulled off. I asked them to pull another tire to check, and it was starting to detach in a couple spots but still in place. After that I told them to rip all of them out because i don't want the headache down the road. It came out easily by sliding a finger around it. Based on the foam and glue condition, I would say the other two were fairly well adhered and probably ok but who knows how long that would last considering the first one failed after 2k miles. This proprietary 'Sound Comfort Technology' is cheap 1" open-cell foam with inadequate amounts of adhesive silicone and QC/QA. Total joke. Goodyear offered to replace two of the four tires, with the same type of tires but the downside being none are available and I'd have to wait a couple months. I'm probably not going to bother - I'd end up with the same foam lined tires again and they still make you pay to mount/balance them. They would not cover the cost to unmount / fix / balance the tires this time to figure this out either. They only cover the tires, not the labour/shop time.
The car rides as smooth as silk once again. I think its louder now and has a weird echoing hum but I'm probably looking for it. My wife doesn't hear anything and thinks its better to not have to worry about it happening again...im inclined to agree. This has wasted many hours of time off on several workdays fighting with it on top of the googling to figure it out. If I had to do it over again, I would skip the inductions, buy Replikas and different tires with a shop / road hazard warranty and sell the stock takeoffs.