4K Can use any BR disk size but if you put it in the way a movie is intended to be put on a BR disk it will only be 1080p no matter what the disk size is.
The only way 4K will ever be on BR is as a data disk. Which you could do even on a DVD if you wanted to.
Playing it off a BR player will become a problem as bit rate goes up.
Would a 4K movie be fatter than 128GB? Just using a cheese download calculator if the stream is 51Mbps, 128GB would be 5.5 hours. At 100Mbps, 2 hours 50 minutes. Seems if the newest multilayer bluray discs were the media of choice that it could easily hold a 4K movie.