I want to know if the four-terminal resistor and the shunt resistor are the same.
Is there another use for the four-terminal resistor except measuring current?
This is what I believe you mean: -
It's still a shunt resistor except there are bespoke pads for the measurement circuit. On very low ohmic value shunts this is usually compulsary for the better ones.
A 4 terminal resistor is usually a shunt resistor. But not all shunts have 4 terminals. This picture should explain why the errors are smaller when using bespoke terminals for voltage measurement to infer current: -