I don't see any "tail-bobbing" that would indicate illness at all, however the first thing I thought when I looked at him was honestly "He's fluffed-up quite a bit". That's the only sign of illness that I see, well, that and he's not moving and looks to be sleepy/lethargic, but obviously I don't know your bird's normal, daily behavior, nor do I know what time of day this is, etc. Only you can gauge whether or not he is lethargic or sleeping more than normal...but his being fluffed-up is the only sign/symptom that I can see, albeit in a very superficial setting without any context of time of day, what activity he had just been doing prior, the temperature of the room, etc.
***This is just my opinion, but over time I've come to believe that "tail-bobbing" should not be used as a sign/symptom of illness, as even Avian Vets cannot really define/describe "tail-bobbing" or differentiate a sick "tail-bob" from a normal "tail-bob"...If you look at your birds at any given time, chances are that you're going to see their tails "bobbing" to some degree. It can be due to simply their breathing and the muscles causing their tails to bob, or it might not actually be a "bob" but rather just a normal tail movement that birds do regularly....In other words, unless there are other signs/symptoms of illness that are apparent in-combination with a "tail-bob", in my opinion tail-bobbing is nothing but a red-herring that gets bird owners all upset and worried to death about their birds...Now I can look at this bird and say "Well, he may or may not be tail-bobbing, it's extremely slight if he is, but he is quite fluffed-up, so the two combined may give me reason to take him to the CAV to make sure he's not sick"...But if your bird wasn't at all fluffed-up in this video and your only concern was his extremely slight tail-bob, I would say that I think he's totally fine. So I don't personally use only a tail-bob by itself as an indication of illness...
Either way, you already got him to your CAV, and you've got bloods coming back, so you're on top of it...Keep us posted on how he's doing...