Being modified like this is much the same as death. I would lose personhood and the modified remains would not be serving my original goals, but those of the winners in the lottery.

So this is equivalent to asking: would I enter a lottery with 0.01% chance of instant death and a prize for everything else? I might, depending on the prize. If the prize is service by the modified individuals, and they aren't based on myself but on other people (so they're not very well suited to advancing my personal goals), and I have to timeshare them with all the other winners (every winner receives 0.01 / 99.99 ~~ 10^-4 % service time) - that doesn't seem worthwhile.