USB-C color accuracy?

I'm working on rebuilding my coloring capacity but I'm trying to keep it cheap since I'm not making any money doing this. Like... at all. I'd like to be pretty dang color accurate in the process. Doesn't have to be perfect. I work on a laptop so I can't use a Decklink card. Does running video out of the USB-C produce a more accurate color than HDMI?
I would definitely buy an UltraStudio 4k but for some reason they only make the affordable 3G up to 1080 and then it's 6 times the price to bump up to the 4k mini. Might just 'imagine' the video quality and get a 1080 ProArt and the 3G but if USB-C is accurate, I'd rather get a 4k monitor. Suggestions greatly appreciated.
I would definitely buy an UltraStudio 4k but for some reason they only make the affordable 3G up to 1080 and then it's 6 times the price to bump up to the 4k mini. Might just 'imagine' the video quality and get a 1080 ProArt and the 3G but if USB-C is accurate, I'd rather get a 4k monitor. Suggestions greatly appreciated.