If the demise of some established top-flight clubs in England(Sheffield Wednesday and United, Nottingham Forest)is anything to go by they'll dissapear off the front and back pages soon enough. you have to go looking for stories involving these teams. the only exception would be Leeds United.
Hibs i remember got a bit of coverage but not that much.
The Record, like its fellow Tabloids, will always go with the team who's winning... so it will be Celtic, Hearts, Dundee Utd, Motherwell etc... and the SFL tucked at the back of the paper.