Alan Ryder's Player Contribution statistic - an all-in-one stat which was like a better version of Point Shares, but was still limited by the quality of the underlying statistics - rated Sergei Zubov as the most valuable player for the 2005-06 season.
A surprising result, considering Zubov was only 3rd in Norris voting with no first place votes, and didn't receive a single vote for the Hart trophy. But consider his team context and you can see how the numbers would point this way. Dallas finished with 112 points and the third best record in the league. And Zubov played almost 500 more minutes than the #2 Dallas skater, led the team in TOI in all situations, and was only 6 points behind Modano for the team lead in points.
Zubov's shootout success put him over the top in the Player Contribution formula. Dallas dominated the shootout in its first season with a 12-1 record, led by Zubov and Jussi Jokinen. Zubov scored on 7 of 12 shots and led the team with 4 game deciding goals in the shootout. He was particularly impressive relative to his blueline peers, as his 7 shootout goals almost matched the combined season total for all other defencemen in the league (10), and his 4 game deciding goals were more than all other defencemen combined (3, including Marek Malik's legendary goal). Dallas took 24 points out of 13 games that went to shootouts, and if you give Zubov full credit for his contribution to those points, it's quite a bit of value.
But we've had the shootout for almost 20 years now and I don't know that anyone actually looks at shootout success when voting for the Hart trophy. I'm generally OK with ignoring it as a regular season gimmick with no value in the playoffs. But on the other hand, if you are voting on a regular season award, shouldn't you consider value added in the shootout as well?
Of the other Hart trophy contenders listed here, Ovechkin was the only skater to add value in the shootout.
Ovechkin - 6/13
Crosby - 2/6
Jagr - 2/8
Alfredsson - 2/8
Staal - 1/4
Thornton - 1/5
Lidstrom - 0/0
Niedermayer - 0/1
Looking at the goalies, Brodeur and Lundqvist were both above average in the shootout this season. Kiprusoff was pretty bad, and if you count this against him it probably takes him out of Hart contention.
Brodeur - 8-3, saved 29/38 (0.763)
Kiprusoff - 1-7, saved 11/23 (0.478)
Lundqvist - 4-3, saved 28/37 (0.757)
In the end I don't think I would have put full weight on the shootout results, and I would have voted Jagr and Thornton as the top 2. But it's interesting that there is a statistical argument for a player who didn't receive a single vote.