From what I've understood, the health security systems in EU are cooperating, so if I have public health insurance in one country, I can, when it's urgently needed, use medical services in the other country.
There are EHIC cards that some countries issue before each foreign travel (for example, in Poland, you must apply giving the exact days of your travel abroad). It's quite problematic, because you need a few hours for it, so if you travel frequenlty for short periods, it's a large overhead.
But, since EHIC is available for free and it's thought to only confirm the rights I already have, do I actually need at at all? Can I be refused refundation of urgent medical procedures (unsuspected illness, an accident like breaking leg etc.) because I don't have EHIC? Is it rational to lose 3-4 hours before each 3-4 days trip for getting that card? What's the worse thing that can happen ONLY because I don't have it?