I do think skaters care little to nothing about fans/social media critique, or public opinion and tabloid press about them.
When they compete, it is for earning their coaches' appreciation alone. Just look how they leave the ice and immediately look up at the coaches with the question 'how did I do?' clearly visible on their faces.
Coaches always say "(not) OK, (but) you should/could have done better here, there, this and that"
While watching the recent Russian National Championships I could silently hear the swear words roll from the coaches' mouths, with "Gospodi" (Oh Lord!) the mildest, LOL, when a skater had a fall, pop or other error.
After competition' evaluations, skaters immediately put bad feelings behind themselves and start working towards their next goals, competitions etc.
They'll probably laugh about us fans keeping arguing and bickering about things that are clearly in the past.
Athletes always live in the present and look towards the future, they have no desire, time and energy to cry over spilled milk, water flown under the bridge etc.