That sounds too high, even Switzerland isn't that expensive

It is indeed too high. It is the price though. Put in Aarhus H and København H here: https://pendlertjek.dsb.dk/

They are indeed crazily low. The real prize is just hidden by subsidy. But more and more the true cost will be revealed. There is no free lunch.

But hey, germany could never really decide, are they living in an authoritarian, left or right utopian la-la-land or in a free country. For some time the american influence was huge, but i fear, the influence will diminish and the pendulum swings again.

I'd wager that those subsidies have very strong returns on investment. From a thermodynamic standpoint, trains are clearly the most efficient long distance transportation technology. The inefficiencies almost always appear as cost.