If a test has a required number of successes, do extra successes matter, and does a partial result reduce the penalty?

Question

Accepted Answer

No. A test with a target number is pass or fail, and surplus successes have no effect. A failed test with a fixed penalty costs the full penalty even if you were one success short. Tests that count successes, such as negate, are different: each success negates one damage or fear.

The Lord of the Rings: Journeys in Middle-earth

If a test has a required number of successes, do extra successes matter, and does a partial result reduce the penalty?