In the Red Dwarf episode, Timeslides (s3e5)Timeslides (s3e5), Dave Lister changes his personal timeline so that he was never gets stranded on Red Dwarf. It's explained that this means they never rescued Kryten and the Cat race never happened.
It doesn't explain why Rimmer doesn't fade out.
It was established a little earlier that Holly brought Rimmer back as a hologram to keep Lister sane.
It still makes sense that the crew would have been wiped out, still. It also makes sense that Holly would have survived.
But why, in this alternate timeline, does Rimmer exist?
Also, why does Holly have the female face?