All new/upgraded auditoriums installed 4K (laser) projectors when I left the business 5 years ago. So not sure if most auditoriums only have 2K these days?
IMAX has only started switching to 4K laser projectors a few years ago, they were one of the last hold outs for 2K projectors (and many IMAX cinemas still use 2K projectors sadly).
Cinema projectors. It should be said that I worked in the business in Norway which had converted all auditoriums to digital in 2010, so many theatres were looking at upgrading their projectors around the time I left for something else.