I used to do this route quite regularly, often in F, and after a couple of 45-minute waits at the carousel, I then started to take HBO for my client engagements in Seoul. Generally I was finding that I couldn't be sure to get to my client meetings which started in Gangnam at 9.30am if I waited for my baggage.

As others have said, if travelling in F you can get escorted through the crew and VIP line for security which is helpful.