Couldnt blame him if he did request out. Players want to make the NHL. When they see their path cut off, it has to be sickening.
I mean, the CBA protects sufficiently against this, so any players who think their path is "cut off" are usually out to lunch. (Players don't even usually claim this at all, just fans do.)
Like with our kids up front atm, if they don't make the team in 3 years of trying, they have to clear waivers. (4 yrs for goalies). So that's the limit of their path being "cut off". If they aren't good enough that another team even wants to pick them up on waivers after that time, then maybe they just have to face the reality that they... simply aren't good enough.
NHL teams want to win hockey games, so Askarov has nothing to worry about. If he helps the Preds win more games than Saros does, he'll play ahead of Saros. (At least, within a year of proving it to not be a fluke.) And if he's pretty good, but just not ever as good as Saros... well, then that's his problem... get better. Worst case he's a UFA at 27.