Looking at BRU-FRA-ORD on LH and find:
1305-1405//1715-1925 available in Z and C, but A/F is marked Sold Out
1505-1605//1715-1925 available in Z, C and A.
What can be the logic behind this - only offer First class when it is likely that the passenger will end up with such a tight connection that he will not visit a First class lounge in FRA...?