Asiana Club - Another Question Regarding Long Connection in ICN

The itinerary is as follows:
OZ602 SYD-ICN arrives at 18:10 Business Class

OZ202 ICN-LAX departs at 16:30 (the next day) First Class

If I booked these flights using aeroplan rewards, will OZ provide me with a hotel?

It's also worth mentioning that OZ has a flight ICN-LAX that departs at 20:00, however I am unable to redeem my points for a First class seat on that flight and thus, I am stuck with my heinous 21+ hour layover. I think the reason for not being able to redeem an F seat for the more convenient flight is that it is a 777, where as the 16:30 flight is a 747.

Yes, the 20:00 flight is a 777, with no F cabin, thus you weren't able to book an F seat on that flight.

And no, OZ will not put you up in a hotel for an award flight AFAIK. I suppose it doesn't hurt to ask, but don't be surprised when they reject your request.