Since there is already only a slim chance of actually getting to the revival part (even though high payoff keeps the project interesting, like with insurance), after mixing in the requirement of reaching the necessary tech in (say) 70 years for someone alive today to still be around, and also managing to die before that, not a lot is left, so I wouldn't call it something to be "expected". "Conditional on you getting revived, there is a good chance some of your non-frozen relatives are still alive" is more like it (and maybe that's what you meant).