In answer to your first question, will any of that be captured by the tests? I can't say it would be true for every kid but I can say that I think with my DS it was. The main clue with DS at the time was his constant questioning and odd interests.

For your second post - I totally get it. Optometrists, dentists, hair cuts, tags on clothes, food, etc are all particularly fun with my kids and generally involve other adult's glares and occasionally comments and 'helpful' advice. In those moments I've been known to fantasize about the potential upsides to all of this - future greatness (degrees, awards, careers, etc) as I take a deep breath and try to get through. Outside of that I'm pretty laid back and about as non-tiger as you can get but in those moments I have big dreams for them. Then the crisis passes and I go back to normal. So yeah, you're not alone.