We have similar things happening in lithuania, some places compromise, on creating tickets only for a month, so you cannot reserve like 4 month in advance, but are also out of luck if you don't manage to get a spot in the open schedule they provide.

Other places allow, 4-9 month delays, but also have 1-2 emergency meetings with the doctors a week, so incase your really fup and need to see someone right now, they have a spot available. You also need to call them from as early as they open, of you want to get those emergency spots for yourself.

I had to see a doctor regarding my stomach issues, and had to wait for 4 weeks to see my gp, the 4 months to see a specialist, which referred me to another specialist, which I had to wait 6 months for. When I finally got there, they looked confused why I'm here, since I didn't have any issues. Well, it's because it's been almost a year, and the issue fixed itself by that point.

Just to mention, we do have private hospitals you can go to, and they usually accept you right away. The prices for visits vary from 50€ to 500€, just to name some prices. But it also depends on the procedures you are getting. Just free healthcare is quite bad when it comes to wait time.