There are several points to consider:
1. the DE product. DE C is -in my view- not that bad. ^ I flew FRA-YHZ last year and you find a comprehensive trip report
here. Althuogh I did not fly in LH new C yet, I think it is far ahead of DE C.
I flew FRA-MIA in April, old C seats were quite worn-out.
2. Miles. Very important point. On LH you get 22 K status miles ^ ^ ^ for FRA-MIA-FRA, on DE some 6000 award (!) miles
.
3. price. If you get the LH ZSPEC you will pay € 1.900 p.p.; DE will about € 1.500 ^
4. Time schedule. IIRC DE flight times are awkward (1 a.m.)
, and flights are only once or twice a week.
LH has daily FRA-MIA service.
^
Enjoy your trip,
fradoc
and I forgot: you may want to upgrade to F...won't work on DE