Obliged by who? The US can choose to wipe their ass with whatever they signed and arbitrarily say NO to a request they don't like. Who's gonna hold them accountable for breaking their signed agreement?
Wasn't there the same pitfall with the League of Nations?
I was just answering your question my friend. Given the states are not party to the ICC, they have very little to do with it. But to your point: what teeth does the ICC have? In theory the 120ish other countries that WOULD arrest someone with a warrant, south korea, ausieland, canada etc. In theory.
The US is not a signatory to the ICC. The US legal position is that the bilateral immunity agreements it has with many (mostly non-european) countries that are signatories to the ICC prevent those countries from being required to arrest US citizens accused of war crimes. I'm not aware of any legal theory in or agreements that lets the US directly block the arrest of non-us citizens in a foreign country so it would have to be the result of backroom pressure.
Wasn't there the same pitfall with the League of Nations?