I can see that possibly being the case, but I'm not sure they're as committed to playing Tyutin, Gelinas, and Wiercioch as you are.
I think we saw last season a change in their mentality. They sent down Guenin because he wasn't good. They ran with Bigras and Z because they were better. They traded Holden. They didn't stubbornly try to keep and play Stuart.
Roy and Sakic have made a lot of public comments basically putting their foot down and saying the players need to play better, and have sent the message that if they're not, things will change.
I don't think they will stubbornly approach their lineup like they have in the past, and that will apply to playing Tyutin, Gelinas, and Wiercioch. I think from here on out, their decisions will be made basically in terms of who gives them the best opportunity to win games, even at the expense of their own ego regarding past decisions. They know they can't have a slow start again, so that applies to the opening lineup.
I think Tyutin might have a slight edge because of his style and experience, but I don't think Gelinas or Wiercioch will have much of one over Bigras. They're obviously ok with making one of Tyutin, Gelinas, or Wiercioch a scratch, so that would suggest they're not tied to starting them. That means they won't play them just because they traded for or signed them, since they'll have to sit one of them. I think that would apply to sitting two of them.