There was a massive storm today and I couldn't do much, so I tinkered in the heated garage on my new (to me) Corvette. I decided to go through the procedure of dealing with a flat. In the past I have had only 2 and both were on trips well away from home. Both were fixed for free, while I drank free coffee. So... I found that all of the tools were intact, indeed never used, and stowed just exactly where they were supposed to be. And I learned that GM put factory locking lugs on those wheels, another thing I was happy to see today. I removed the tray and cleaned everything up (I really got into all of this because I was cutting the left muffler off and everything kind of fit together to do all of this). Then I found that the dorky emergency tire was not carrying its 60 psi. I washed the wheel, then brought it inside and pumped it up to 55 or so (my gauge only goes up to 55!). I sprayed the tire with a special cleaner, and that's when I noticed that the rear rim was happily bubbling the cleaner pretty much the whole way around. And... I know that tire people tell everybody to replace tires that are a decade old. This tire is 3 times that old.
I like how the car is so intact, but my inclination is to take all of the (now) dead weight off, and put a can of that goop / filler in the bay behind the seats and call it good. Even my 2016 Kia Optima has no spare -- it has a can of the goop and a small cigar lighter powered compressor. I probably will price those weird spare tires just for giggles, but what would you do at this point?
One more thing... I really didn't expect this, and I understand that the Z51 option on later than 1984 Corvettes was supposed to be less stiff, but after I jacked the car up on the left rear, I noticed that I had jacked the whole rear of the car up. That's one stiff suspension!