The Rams have ears, too.
If the rumor mill is that Shanny isn't interested, they'll find an excuse to cancel the interview. No way they'll waste their time. And, it would be no help for Rams PR to go begging.
My prediction is still that the Rams will sign a HC very shortly, no later than Monday or Tuesday. For one reason, they don't want the better OCs and especially DCs to start being taken to fill those roles elsewhere.
But, I don't trust these rumor mills at all.
2 days ago the rumor mill had 3 different HCs definitely going to Denver. Obviously, only 1 did.
I'll say it again: the job is HC. Not Super O/C. Hot shot, well accomplished unit coaches fail as HCs with alarming regularity. Then go back to what they do best, and succeed (Linny, Spags, McDaniels).
Rams had better be looking for an HC type; and not somebody who had a recent run of coaching a good offense or defense.