Which individual accolades are you referring to?
Simply read the bottom of his EP page:
Igor Shestyorkin at eliteprospects.com
2012-13: WJC18 Top 3 Player on Team Russia
2013-14: MHL All-Star Game
2014-15: WJC20 Top 3 Player on Team Russia
2015-16: VHL Top GAA and SV%
2016-17: First Team All-Star and KHL All-Star Game
2017-18: KHL All-Star Game
2018-19: KHL Top GAA and SV%
2019-20: AHL All-Star Game
He has quite literally gotten some type of prestigious individual accolade every year he has played in a league that the public follows, except his first full season in the NHL. And he still might get it for that season. I think NHL All Rookie Team is very possible. 8 straight years, and it could be 9.
That isn't to mention that when he has the best career SV% and GAA in the KHL for goalies with a minimum of 100 games. And the 2016-17 season he should've won goalie of the year. He had the best regular season, which is indicated in the First Team All-Star accolade. But then because SKA got upset in the final by another team they gave it to that team's goalie, who wasn't even one of the league's best goalies during the regular season. It was utterly bogus, and an overreaction to the playoffs that Shestyorkin didn't even really get to be the starter in.
In 16/17 that was the case, yes. In 18/19 he was just not good and split the workload with Magnus Hellberg who actually did a better job. Same year, Sorokin was the MVP.
So you skip a full year? 16/17 and 17/18. 18/19 he put up maybe the greatest season in the league's history for a goalie. Of course he was going to start the playoffs. That doesn't excuse what happened the two prior seasons. And SKA was overall bad in the 18/19 playoffs. Blaming it on the goalie is ridiculous, if you watched the games. They deservedly lost to CSKA in the Conference Finals.
SKA was a powerhouse though and the best team in the KHL, it's not like there's any real difference between playing behind the defence of CSKA or SKA during those years.
People who don't watch the KHL usually don't understand that CSKA gets the same level of results as SKA. SKA might be the biggest name in the league with the biggest stars, but CSKA is routinely better coached and plays a better defensive system that yields better defensive results. SKA plays pond hockey with the most talented roster in the league. For a goalie, it's easier to put up stats on CSKA. This is shown in their career KHL numbers where Shestyorkin has a pretty significant enough better SV% (5 points), but his GAA is only .02 better than Sorokin. Thats a mark of CSKA being better defensively than SKA where the GAA is closer than the SV%.
Also, Sorokin didn't even have the best stats on CSKA during his time at the team. Lars Johansson has better career numbers, and they were at CSKA during the same time. None of the SKA goalies career stats are that close to Shestyorkin, and they've had more talented goalies in Koskinen and Hellberg.