I think the question has some wording problems and has confused some.
You will not be downsampling. You are upsampling to 4k from 1080p or 1440p. Downsampling is in the other direction, having the GPU render at 4k, and shrinking it down to 1080p, which acts like OGSSAA.
In both cases, you are relying on the quality of the scaling abilities of the monitor/TV. TV's will likely have better scalers, as they are selling to people who will always be upsampling, as there isn't 4k content for tv's. Monitors may or may not do a good job. This is where reviews and seeing one in person will be important. TV companies claim upsampling looks better than watching on a 1080p TV, but I bet in some cases, it would look terrible on a PC, but until I see one, I will not know.