

Largely depends on the country. Most countries prosecute only crimes commited in their territory (including ships/planes in/above international waters sailing/flying under their flag) or sometimes even by their citizens outside it. There are always exceptions to these rules. As per the meme, think of them more as guidelines that are followed most of the time.
That being said, this example is within the EU, meaning other EU members are obliged to arrest the person and send then to the country that asked for them. There are also various other extradition treaties under which the person can be brought before Dutch courts.
Also, AFAIK ‘capital’ crimes in US lingo are those punishable by death. Since no EU members and only one country in Europe outside it actively retains death as a valid penalty for a crime, this would be closer to a felony in the US. The EU is similar to the US in that regard - EU member states are obliged just like US states to turn over people with a properly published arrest warrant. However, there are no “federal” courts in the EU and “federal” crimes like in the US, at least not in the way as they exist in the US.
Also, even if a few members organize themselves to do that, that doesn’t mean the entire organization supports it or is behind it.