I'm sure as an aviator, you would not be comfortable taking an aircraft that had been serviced by someone who had spent the last 24 hours travelling half-way across the world to be rushed to join "your fight".
Slight drift and apologies for this.
Actually that scenario could well happen, there is no hours restriction on engineers as there is for crew.
There has been discussion of late I believe in some quarters about that needing to be addressed. See
NTSB: need to regulate maintenance duty times | AskBob.aero
Whilst in the RAF I actually came close, I did a night shift 7.30 PM to 7.30 AM at 6.00 AM we were tasked to get an engine plus tooling ready with transport to travel to Lynham for a 10.30 AM departure to Gander for an ECU change.. 8 hours later after unloading everything it was expected by those at Gander that we would get straight on with changing it! And no we didn't.