It's interesting, as someone with relatively bad anxiety who barely functions as an adult, that the plot didn't rub me the wrong way.
But when I get kicked into doing something the initial terror almost always gives way to just...getting it done. The experience cannot be as bad as what I imagine it will be, that's what anxiety is. So if you don't just immediately spiral out of control, things will rapidly get better. At least until the next time.
Though, in my case ADHD is a major factor. So rather than my anxiety alone being super intense, its more that I can't overcome inertia and push past the immediate pain of anxiety and effort in general in pursuit of some long-term benefits (since the impairment of executive function in ADHD makes it hard to hold a realistic image of, and thus properly assess and appreciate, long-term consequences and benefits).
So yeah, this felt reasonable and true to my experience, but then, maybe it's not reasonable and true to the issues Neeko's been shown to have. I don't actually remember the finer details of her condition, to be honest.