Unless there is new LH F, I would skip that and fly SQ F JFK-FRA instead !
I have never flown LH F, all because of ancient hard product. FCT is nice, but how many hours can you stay there, it would still be shorter than your flight. And base on numerous trip report in LH F, their food offerings and service doesn't look like even come close to SQ F, NH F, or OZ F.