Sorry, Sailing. I'm going to have to disagree with you here. From the "ALPA Guide to FAR 117":

Q-74. Can the certificate holder require a flightcrew member to check
a computer, email calendar, text or other conversation media to
determine assignment, changes, etc. during a rest period?
A-74. No. During a rest period, regardless of length, a flightcrew
member must be free from all restraint. If a flightcrew
member is required to do something by the certificate
holder, he/she is not free from all restraint.

The last-day schedule check is dead. And yes, it is rest.