Not sure why I didn't see this thread before, but a definite yes.
(I've tried to call 'PAT' 'appliance testing' for several years, even before the 5th CoP came out)
For me a mechanical timer would include a visual (including does it rattle - has anything broken inside), followed by earth continuity, polarity and basic functionality. A full test of functionality - determining whether it actually takes about 24 hours to rotate is generally outside the scope of the testing I undertake 🤣
I think I have previously failed an old one with removable tappets as they were all missing and it was therefore not functional as a timer