You describe something indicative of auditory processing difficulties. The problem is that there isn't a normalized test for it until age 7.

Alert the counselors to his difficulties and ask the camp counselors to sit him near the front.

We had a lot of things that looked like auditory processing disorder when DS was 5 and 6. We did some related testing that would be indicative of it without doing the more direct testing he wasn't old enough for, and things looked fine. At age 7.5, with those major difficulties outgrown with with a related horde of other difficulties, we ended up with the diagnosis of apraxia, which seems neurologically related.