Operating system: Linux amd64 Debian Buster
Graphics card: NA
Worked: Possibly way back.
Blender can handle own TIFFs
TIFF handling in Blender has been forever been broken for a number of reasons.
By default TIFFs encode associated alpha. Sadly, Blender had a hack that tried to "preserve" background pixels, coupled with saving with extrasamples set to unassociated alpha. The result is that Blender can't properly load it's own files.