"Rolling tape" refers to any time in the past that a boar op/engineer started to record, whether it was an interview, a commercial or whatever.No, that’s not it. ‘Rolling tape’ refers to an aircheck.
The board op would either say or signal "rolling tape" to signify "recording" had started. Was also used in TV any time something was being put on the VTR.
Like lots of antiquated terms, it's still used by veterans when recording even digitally.
Airchecks are usually done automatically with a secondary device connected to the switch of the studio mike to capture the content every time the mike is opened. It usually includes the full "line out" audio so the PD can hear the record fades and intros and other items that are part of the audio when the mike is opened.