We had the problem as well. In our S75D, it would often take minutes for the car to wake up. We never had it diagnosed because we knew what the problem was. We just had the infotainment upgrade done on that car since we didn't want to try selling it with eMMC issues. Our S100D had the infotainment upgrade done last year because it was experiencing problems as well and we knew the infotainment upgrade would fix the issue. Our oldest Model S also shows as ineligible. It didn't have the upgrade done so it should be covered by the recall.
Mine says the same thing: "No record of potentially reimbursable repairs performed by Tesla" But it appears that I can still submit a claim application, which I'm going to do. edit: According to this: 8GB eMMC Reimbursement Frequently Asked Questions the initial eligibility on the form is if you had the eMMC replaced by Tesla and want to get reimbursed. It's not if you don't qualify for 3rd party replacement reimbursement. If you have an eligible car with an 8GB eMMC that hadn't already been replaced by Tesla, you should qualify and can still submit a 3rd party claim.