I don’t see any downside to waiting to see the score- and a couple of upsides.
Does your kid’s HS have massive grade inflation? Well, she got an A in AP History and a 2 on the AP exam. That’s going to help her figure out where she stands on a nationally normed basis of college going kids- not just in her own HS where she’s likely the Val and the top of the academic heap. Your son’s counselor is trying to help him decide if he’s ready for the more intensive “physics with calc” or the less intensive. He self-studies for the Calc AP, gets a 2, so it seems clear that the physics with calc is NOT his best option for next year.
Once a kid pays for and takes the test- unless they walked in to the center with a massive migraine or a throbbing toothache and couldn’t concentrate, I don’t see a downside in keeping the score. And it may help the kid make better decisions for the upcoming year.