I know opening day is the best day to book. Does anyone know if concierge is the exception to that? Do they increase, or stay the same? I’ve tried the website that tracks fares and it was just a flat line.
Flat line means the fare hasn't yet increased. Fares usually increase at some point, but not always. And among those fares that do increase, some increase more quickly than others. It's all based on how many people book that category on that cruise within a certain amount of time. That varies widely between cruises.
I only tracked one cruise of mine that I booked concierge and the price of the one bedroom suite I booked was the exact same price right before sailing as it was when I booked opening day. When I've randomly looked at European concierge rooms they seem to go up a lot.