I agree with what others have said, you do not know for sure that ABV tests that are positive even mean that your bird has ABV and at this time we do not know that ABV even causes PDD, although the link is pretty indicative. That is absolutely not to say that a bird that does have ABV is ever going to develop PDD. I would strongly suggest you seek a second opinion because, and I say this with the utmost of information behind me, there is NO KNOWN TEST for PDD in a live bird at this point. Yes, they can do a crop biopsy which is dangerous and most likely worthless because a negative crop biopsy means nothing other than the fact that where they took the biopsy means that they did not hit a lesion. A crop biopsy can only tell you that you do have PDD if and only if they actually hit a lesion upon the crop biopsy and the chances of that actually happening are slim to almost not going to happen, so it's almost a completely and totally useless tool and it is a fairly dangerous test to perform.
If I were you and my bird wasn't showing a single sign of PDD, even with an ABV positive test, I would not treat for PDD. First of all, the drugs for PDD are not cheap. Second of all, why treat something your bird isn't even showing symptoms of? PDD can manifest in one of two ways. What happens with PDD is that lesions grow on the neuropathways causing all sorts of issues in the bird. You will either see this in eating issues or you will see it in neurological issues, sometimes you can see it in both but generally, you see it in one way or the other. Your bird will start having severe balancing issues or he can't see because it affects the brain and the eyes. Or your bird's proventriculus is affected and no matter how much he eats, he can't digest his food so he will start to lose weight at an amazing speed even though he eats amazing amounts of food and you will start to see undigested food in his feces. If you aren't seeing any of these signs, I would say you do not have a bird with PDD. They can do tests and can say that your bird *probably* has PDD based on these symptoms and things like a barium swallow and how slowly the crop and proventriculus is working or the crop biopsy if they do find lesions upon inspection of the biopsy which almost never happens. They can't say with certainty that your bird has PDD until death and even then, they might not see it on gross necropsy...they can only see it on histopathology.
I also agree with everything everyone else has said about heavy metal poisoning and I would highly suggest you run a blood test for zinc and lead before you sign up for celebrex. I'm amazed that any vet would tell you that you have a PDD positive bird because you simply cannot tell and just because a bird comes back positive for ABV means absolutely NOTHING about the bird having PDD now or EVER! I beg of you to get a second opinion and to run that HMP blood test. Your bird's life may depend on it.