My grasp on electricity is elementary, but as I understand it: measuring current in a circuit with a scope is always done via a conversion to a voltage, because that is what the scope is designed to measure. So the current is always derived from a measured voltage.

With my silly thermometer example I meant: you can boil water, measure the temperature and derive the atmospheric pressure and altitude. Should have probably worded that clearer.

Edit: and yes I understand what you are saying. Internally the scope measures voltage using the current that’s flowing across something with a very high resistance.