1. It's not about some rule that limits the number of visits, it's about that you can't physically do it, because an appointment for urologist made today will get you an appointment on october. Because the queues are so long, people make appointments even if they don't need it, and then don't show up. This makes queues even longer.
2. Yes, public healthcare does not prohibit from using the private sector, fortunately. But the amount of money I pay for the "universal free public healthcare" every month dwarfs my expenses to private sector. It's like I'm paying for a really expensive service, and I can use it twice a year with questionable effects. So not only public healthcare is extremely expensive for me, I need to pay above that to use the private sector. I understand what the money is for -- so that other people can use it that are less fortunate than me. So they kind of rely on my sacrifice, on my life choices, my risk.
3. Maybe it's flawed, but it's the reality. Trying to change that isn't really my fight. If you know how to fix that then by all means go ahead. I need to spend my energy elsewhere.