For what it's worth, I'll give my reaction to your report on the hearing.
Another question was about whether we felt he would feel uncomfortable in a grammar school where children discuss their results and he had a low score
Rather a silly question, because there's no way it ought to determine the outcome of an appeal!
I am now really questioning how it all went. Were all the difficult questions to help us or were they to confirm the worst?
I'm satisfied from your report that they were genuinely trying to see if there are sufficient grounds to overturn the LA decision despite the low scores. You had some very good evidence for them to consider, and so there were a lot of probing questions (mostly very sensible ones!).
It would have been a finely balanced decision for the panel (good evidence versus low scores), and we shall have to wait and see what the outcome is, but I have absolutely no doubt that there was a lot of sympathy for your case. It's clear to me that you were extremely well prepared, and handled the questions brilliantly.
Last year only 29.2% of appeals with a score of 116 succeeded, and to make matters worse, in this instance the second score was 114. It's a tribute to you that I would put the odds at 50/50. Perhaps even 51/49 ........
"Hope for the best ...... be prepared for the worst."