This is obviously only my perspective, but…
I have three boys (now 12, 9 and 9). In case it’s relevant, they are all NT. It’s easier now but up to about the age of 8, they were like spaniels.
At the age your boys are now, OP, if DH and I didn’t take ours for a long, long walk or to the park or to s•ft pl•y to charge around and let off steam for a protracted period of time, then chaos like you describe would reliably ensue.
And I mean C H A O S. It was a law that proved as inalienable as gravity. Skip the exercise = have a terrible miserable time as they all misbehaved. It wasn’t additional needs, it was just they needed to discharge energy.
It’s absolutely exhausting and felt so unfair. I now have a deep and abiding loathing of parks because of the number of times I had to go to one in the rain and wind and freezing cold, with chuffing scooters or to sit freezing my tits off in the play area so the boys could burn off the IMMODERATE amounts of excess energy they had been blessed with.
All my friends with just boys had the same situation. My friends with girls were baffled. They just did not experience this. It’s stereotypical and yet here we are. 🤷🏼♀️
It felt more like crowd control at times. We were (and are) really militant about decent, kind behaviour and good manners. Victorian, almost, in enforcing this. And my goodness that is terribly wearing. Repeating the same thing, insisting on the same thing, over and over again.
I should add that they are all delightful, thoughtful young chaps now. Still annoying but the spaniels era has mostly passed thank the Lord
I wonder if sometimes people move to thinking their child is ADHD in these situations, when perhaps it isn’t always that.
It is really really hard to manage, but parenting is really really hard, one way or another. So I would say, in answer to your question, yes. The situation you describe was nerve-shreddingly normal here if they weren’t exercised enough, and if we didn’t do the hard, demanding stuff in not letting poor behaviour slide.
Hard choices now, easy life later.