It sounds like you were rather negligent as well. You didn't care to have any inkling of memory of the vesting schedule in 1996, or just to double check and "wrap up" the financial details of that agreement after the work was done?
It does seem somewhat suspect to elide mention of what became of the shares that you did own, and that you only re-noticed Nvidia in 2024. Every 14 year old PC nerd/gamer knew that name in 2001. It is quite a feat of negligence to wait that long to dig this up.
You seem like a decent person, and I do believe that you are justly owed something, but I must admit that I find this to be a depressing tale of rich people spinning wheels for naught. A modest inflation-adjusted multiple of the original value of the options seems reasonable.
Before anyone accuses me of shilling or white-knighting for a major corporation, I don't have any broader sympathy for them and I would generally take the side of David over Goliath, which I think some commenters are making this out to be, but it seems more like Mini-Goliath and Mega-Goliath are bikeshedding and David has no stake in the matter.