No, not always. The arrest is only the beginning of the process. As previously stated, the authorities in the nation where the arrest is made are the only ones who may assess if an extradition procedure is legitimate.
An Interpol Red Notice may not always result in major delays and checks every time a person crosses a border. It may also result in arrests and brief detention both overseas and at home.
Yet, in rare situations, the Red Notice will result in extradition to the requesting country.
Decisions are made based not just on the gravity of the Red Notice, but also on the extent of cooperation between the requesting and arresting countries.
As a result, the identical Red Notice may be ignored in one nation yet result in extradition in another.
Extradition is resolved in accordance with the legislation of the arresting nation.