Yes all my babies/new birds came with paperwork from breeders for bloods/poop screen for PBFD/giardia/psitacossis/ etc (sometimes DNA if important) and then have feather samples, oral smears and poops at 30 day ownership at new bird check up. Then they have 6 months of age appointment which is poops and sometimes bloods if a concern is raised and 1 year appointment where bloods are taken for sure with a repeat of the 30 day tests. Then I have check ups with poop samples every year to 6 months from there. Bloods would only be taken if poops or otehr tests gave a cuase for concern.
Obviously if need be we go in between these times. Additionally we send routine poop samples to the vets for testing, this is part of our avian insurance that poops are sent off periodically for testing so the insurance remains valid and it screens for internal digestive problems and minor infections. Also they can keep an eye on how good the diet is for the bird.
I'm lucky that my vets have all labs and results on site

Bloods can be quite invasive but breeders I go to refuse to sell without testing because its in their interests for their own flock and the new owners to have healthy birds. Disease testing doesn't always require bloods though, a remarkable amount can be seen in poops, feather samples (you don't have to pluck feather out usually you just collect one that comes off when stroking, our AV pets the bird till a down or feather comes loose naturally, if not he just tells you to bring one in separately). my AV only does bloods at the 1 year appt for small birds and 1.5-2 years for larger birds and only if absolutely necessary if the results from other tests or physical exmination give cause for concern.
If you have multiple birds then disease testing is a must, there's lots of diseases birds can carry but not suffer physically from. However when in contact with another bird they infect them. Additionally, some diseases like pstacossis are actually tranmissable to you! So you don't want to endanger yourself.
I always implement quarantine for 30 days with new or sick birds. All have different antibodies

You may not agree or think I'm excessive but the way I look at it is i can't vaccinate my birds like a childso I have to protect them by knowing if they are sick to start with. If they are we can treat it there and then befrore it infects other birds, kills the existing bird or infects you! Also if a breeder sells you a sick bird you have a duty to tell them if they don't test because they maybe doing it deliberately or they may be unaware of a potential situation. The way i look at it disease testing is a necessary 'evil' to save your bird and many birds.