Seems like an opportunity for a coworking-lite space -- rent a seat/desk spot for 1 hour blocks.
Most have a selection of plans to choose from: hourly, daily, monthly, etc
I chose a bit more upscale one without a fixed seat. I pay ¥1100 (7.5 USD) I think for each day I use it, with a monthly minimum spend of ¥2200. It comes with free mediocre coffee/tea. It is consistently clean and library quiet as people follow the posted rules including minding the volume of their typing and headphones.
I would be surprised if the situation in Seoul was significantly different.
Maybe that's already a thing; my sense of self is not dependent upon being "right" in this matter.