During LIMA 2023, KAI’s International Business Development Director for Asia, Sangshin Park was quoted.Either way, seems KAI give enough indication to seriously study one cockpit/single seat design for further development concept on their LCA.
"discussing the development of a single-engine version of the aircraft that would be designated F-50. This aircraft should begin development next year and would have completed that process by 2028."

Korean Aerospace Industries eyes new fighter designs, FA-50 sales in Pacific - Breaking Defense
Underpinning KAI's plan is an overall goal of reducing the company’s dependence on Korean government procurement and to increase sales in the export market.
It seems long for a platform that is already in service. Maybe they are focusing on the KF-21, and the extensive length seem to suggest a more though refresh.