Your permission doesn't answer the relevant question of whether it should reconstruct you, it only tells that you think it should (and, of course, it really shouldn't, there are better alternatives).
of course, it really shouldn't, there are better alternatives
I share this intuition as well and sometimes bring it up during discussions with SIAI people about cryonics. Can you explain your reasoning further? My arguments were like "All the resources an FAI would need to upload cryonics patients would be enough for years and years and years of simulated fun theory agents or whatever an FAI would use computronium for."
In general I guess I just assume that post-Singularity computronium (if the FAI doesn't just hack out of any matrixes it can) (...
Giulio Prisco made a blog post giving permission to use the data in his Gmail account to reconstruct an uploaded copy of him.
Ben Goertzel copied the post and gave the same permission on his own blog. I made some substantial changes, such as adding a caveat to exclude the possibility of torture worlds (unlikely I know, but can't hurt), and likewise gave permission in my blog. Anders Sandberg comments on the thing.