I've been doing this for 26 years, and whilst we may wait for other aircraft if they have a large number for us, I have never seen an order to wait for an individual. I think it mostly belongs in the area of myth and tall stories.
I dont doubt that it'd be rare.
However.......
I know first-hand of a CL flying F to LAX, who arrived at the F checkin in MEL (some years ago mind), at 10am for the 11am flight. As it turns out, it was a 10am flight. (How a CL who can be in QF top 20 FFs can get daylight savings wrong on his flight times is beyond me - but that's another story).
QF escorted him immediately through Immigration/Customs, straight onto the plane. All ok connection through to JFK.
Of course, the checked luggage arrived in NYC 2 days later. He recieved his bags, checked out of the hotel and went straight to JFK for the return flight (to LAX on AA connecting to QF). Only the AA flight was cancelled after some delay at the airport, so a last minute switch to UA (he got the last seat in F), which resulted in a similar experience to the MEL experience at LAX. Bags arrived delivered to home 2 days later.
Now i've no idea if the plane(s) were held (although that's how this CL describes it), or whether they were just late on "departure" anyway and he was just lucky (twice in a row).
BTW, the CL hasnt made the same mistake re: daylight savings since, although checkin 30mins pre-departure was not an uncommon occurrence (at least up until around the time the F Lounge opened! :mrgreen
. He also didnt claim for expenses incurred for late luggage !
Perhaps the stars just aligned