Full, I think native 4k projectors also start at around 2000 CHF... but I don't think Epson specifies that it's native 4k... Most projectors achieve 4k through pixel shift
It does not have a native 4K picture resolution!
"With the EH-TW7000, as with the larger Epson EH-TW7100, Epson relies on the smaller 0.61" CineFine LCD chips, which realise a native Full HD resolution of 1920 x 1080. Using the Epson UHD Pro Shift process, the image is projected at lightning speed so that a full 4.5 million pixels can be shown on the screen instead of 2.1 million. That's not 8 million pixels like a native 4K resolution"
https://www.heimkino.de/news/epson-tw7000-4k-hdr-beamer-test