You're falling for the availability heuristic. I work at a healthcare software company that specializes in finding people services (a.k.a. referrals), and the wait times for our "have-nots" are much longer than four months. There are so many events and disabilities in America that can lead to you just never getting care at all. Most of our population is under-served.

Now, the UK is especially bad but their system is receiving a national gutting at the moment.