I do stim, and I know I engage in stimming without my awareness. Stimming is associated with all ASD - yes, Aspies stim too. About NTs and stimming - not really. Important to distinguish between stimming (an Autistic trait) and just 'normal' fidgeting or restlessness!
For me, stimming is both relaxing and envigorating at the same time. Now I am more conscientious and I try to remind myself to not stim (a natural tendency) around others, or at least engage in 'quiet' stimming where it's not really noticable. I have a squeezey ball on my desk, for instance. btw, I can/do stim very classically - yes, I do the rocking back and forth stimming. When I stand I 'twist,' which actually keeps me balanced.
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The ones who say “You can’t” and “You won’t” are probably the ones scared that you will. - Unknown