In theory yes, but in practice it's more unclear. There are conflicting Supreme Court precedents, that weaken the Fourth Amendment in cases where criminal penalties don't apply. Asset foreiture is another example.

> I think it's a pretty big undersell to describe ICE as "marshals" too - they've got plenty of discretion in how they prioritize targeted people and who they detain. They are not just a neutral party executing court orders.

Yep. That's also a difference between theory and practice.