I'm not autistic but I am neurodiverse and get frustrated when people don't answer the bloody question.
Example: What time are we leaving?
"Well, I've got to wash my hair and dry it and then Fred might want a lie in, he can get up anytime between 7 and 10, I dunno. He might want to go to the gym. And then Theo has a nap mid morning ish so best bet might be sometime after coffee but before lunch."
Is it that hard to just say 12 or whatever?
Is there anything in particular I can make for dinner, I need an idea for what to cook?
"I've been really off my food recently. I don't want anything with pork or creamy and I can't stand rice at the moment. I just feel really sick and everything is turning my stomach. Something small but filling. I'm off chicken. And beef. And fish. Nothing with gravy. So whatever you feel like making?
I end up feeling more stressed and for some reason saying, "Please just tell me exactly what I can make you that you'll eat.' either still doesn't get an answer or gets an upset/angry answer.
All that being said, I have also skirted around giving direct answers when people ask me questions I am not comfortable with. For example, strangers (usually men) who want to know exactly where I live...saying the town doesn't seem enough, they want to know what street. I'm not telling a stranger that. I'll say "near Big Sainsbury's" or "not far from the ambulance station" rather than "Oak Park Lane".
I think in your case, the answer seems irrelevant and unnecessarily time consuming for staff when you are appealing for a Year Seven place. Schools are busy, timetabling and room booking is a nightmarish jigsaw puzzle that could fall apart with the slightest change. From their perspective, it's a strange question and won't affect their decision.