That takes the meaning of drought to a whole new level. A drought actually infers that the event is temporary. 200 years is not temporary. That’s actually misrepresented, let alone thousands to millions of year.
I think you are looking for the term "prolonged", which a drought can be ~ some definitions suggest it's a prolonged period of abnormally low precipitation ~ but unless prolonged is defined, the Sahara is in a drought ~ a very long one in fact. Goes on for 100,005 years, with a 5,000 year break.
An 80 year drought cycle is pretty normal for the US ~ and it would be wrong to suggest that just because that's "normal" that no drought exists!