Most likely yes. Depends how you're faring now and who your opponent has for his goalies. Looking at your goalies I wouldn't be surprised if Hiller or Niemi start any more games unless the SJ/LA games means a better seeding for SJ if they win.
I'm playing for the championship with Niemi, Backstrom and Hiller against Lundqvist, Price and Varlamov (I expect he'll pick up Giguere for tomorrow too), leading 10:4, with goalie cats:
W GAA SA SV% SHO
2 1,5 49 .939 0
0 2,55 39 .872 0
Even if I start Hiller tonight I'll get max 3 more games from Backstrom and Niemi and the other guy gets 4 from Lundqvist and Price (and maybe some from Varlamov/Giguere too), so I'll probably lose SA.
Is it better to play it safe and hope to win GAA and SV%? Or just go all in and play my goalies?