I transited through FRA last week as HON but from ARN to LHR. All F lounges seems closed. We disembarked on apron in FRA and there was no HON service (HON line said not to expect a car and to call them if my connection became short, as they would see what they could do). I did get a greeting and thank you from the purser on one of my flights. Ironically, it was the first time I was ever specifically greeted on an LH flight (I’m always singled out on LX).
In short, I wouldn’t expect anything in terms of ground service for HON/F passengers at least in FRA.