I'll -guess- that if you run the 4k display in either "full resolution" mode, or in HiDPI mode ("looks like 1080p"), it will do fine.
However -- if you try to run it in "scaled" mode (such as "looks like 1440p"), it will bog down somewhat because of the extra processing involved.
Will you be able to read text at full 4k resolution on a "regular-sized" display?
(by "regular-sized", I mean 27" or even 32")...