Supposing I were a topskat-paying immigrant, newly arrived in Denmark, you better believe I'd expect the usual level of healthcare and childcare services. Unemployment benefits and the like are a different matter. The expectation is that you came to Denmark to work and you know what you're doing, so restrictions there make perfect sense.

As for how it works in other countries, here's an example. When I worked in Korea, I paid the mandatory government healthcare tax (it was a few percent) and thereby received the same level of treatment as everyone else. It went into effect as soon as I arrived. That's all I'm talking about. Fair is fair. If you try to turn the system into a one-way street, even if only for the first year or two, you risk pushing away the most attractive would-be entrepreneurs and workers looking to immigrate to the country, exactly the kind of people who have no shortage of options elsewhere.

I'm sorry you had to go through that shit. My fiancee and I visited my parents in Denmark for Christmas. The amount of paperwork to get her a simple two-week sponsored visitor's visa was staggering.