You might be underestimating the impact of mental illness, or of being incredibly obese, on actually getting anywhere. I agree with you, that pool is really close. But these issues make it feel impossibly far away. It’s stupid, but it is what it is, and that’s why we have therapy. If you can afford it.
You’re right, obesity might play a larger role in making that difficult than I was factoring in. I think a significant hurdle is also wearing wet bathing clothes in public/finding public appropriate clothes. I do also think that increasing public pools can do a lot to prevent obesity, but in extant cases, it might not be that helpful.