no prob, other sizes will follow further, in theory up to 12k and beyond ! (To be realistic, 4k size/res should be considered the upper limit. Beyond that there're no gains in increasing resolution further).
By the way, at now, it should be not a big issue to have LittleOne 1k on your Full-HD monitor. As you could see in this detailed computer generated analysis, due to your screen size (27''), LittleOne should be visible enough in its 1x GUI...




