Corid (amprolium) is simply a thiamin blocker. It is in no way an antibiotic nor does it function in remotely the same way. It acts by preventing the cocci protozoa from absorbing enough Thiamin to grow and reproduce, thus keeping the cocci numbers under control long enough for the chicken to develop some immunity to the strains present in their environment. Corid will have no effect one way or another on a respiratory disease.
Respiratory diseases in chickens often recur, even once the bird has gotten over the initial outbreak they remain a carrier and can keep having outbreaks their entire lives.
You might try treating your birds with a course of Tylan 50 and see if there is any improvement. Some of these diseases will just continue to be problematic while others can be dealt with more easily. We had an outbreak of infectious bronchitis two years ago. Treated all the birds, all survived, and we have not had any more issues. But other diseases can be more aggressive and difficult to deal with.