I just took OZ 202 in F a couple days ago, with an overnight at the Grand Hyatt Incheon, and here are some observations:
1. the exit for the shuttle bus is closer to door 14 than 13, on the arrivals level (these doors are only 50 feet apart). Go out door 14, cross the street, and the bus stop for the Hyatt is right there. Bus arrives at this stop at :05, :20, :35, :50 past the hour. It is a 3 minute ride to the hotel. First stop at hotel is West tower, second is East tower. (towers are 200 feet apart) Look at your reservation - it will tell you which tower.
2. Bus departs East/West tower every 15 minutes and takes 5-10 minutes to get to airport. For Asiana departures, get off at second airport stop (gate 13/14). You will then go upstairs to departure level, then go to Aisle "L" for check-in. They should escort you to priority security, but there is no immigration priority line (took less than 5 minutes.) After immigration, turn right, go 50 feet, and escalator (on right) will take you up to First Class Asiana lounge. Lounge is nice/quiet but I would not plan more than 1 hour max.
3. Agent will escort you to gate/plane. About 2:20 we went to front desk in lounge and they escorted us from there. Not sure if they come and find you in lounge if you don't go to the desk.
4. Food/drink/service/seat on Asiana A-380F was outstanding. One of the best F experiences I have had (I have done SQ, AA, UA, LH, LX, EY, TG)
5. I have GLobal Entry and made it from airplane to curb in less than 10 minutes (new personal record, no checked baggage)
Enjoy your trip, and make sure you try both brands of Champagne on the flight!