I'm not sure if this has ever been presented as a scenario, but even if you are looking at many minor disruptions, physically speaking, there aren't that many places that your neurons would have gone.

So, it is possible that many versions of you might be woken up, wedrifid1, wedrifid2, etc. , each the result of a different extrapolation that was minor enough to be extrapolated, yet major enough to deserve a different version. This would only happen if the damages have occurred in a place critical to your sense of self. I simply don't know enough neurology and neurochemistry to say how much damage this is and where, but I'm sure that the superintelligences would be able to crack that one.

And your great grand children, being the nice sweet posthumans that we expect them to be, (they did recover you, didn't they?) will spend time with all versions of their great grand parents. Their brains would be running at higher cycles and keeping intelligent conversations on with 10 versions of you will be trivial to them.