Now that’s some irony!
Filming began in December 1987. With Christmas approaching, director Richard Donner asked if the production could have Christmas Day off, but Paramount Pictures executives refused, insisting that filming should continue on Christmas Day. However, Donner outwitted them. At the end of the day on December 24th, he fired the entire cast and crew. Two days later, on December 26th, he rehired everyone. The break allowed the cast and crew members to spend Christmas with their families.
I think he meant “fuck them” as in “who cares about them”, as there is not incest or anything like that in Scrooged!