Do trigger colliders still need a rigid body to be optimised?

As you know,

it is essential to give a rigidbody to a collider or physx will slow down if you move the collider. Does the same rule apply to triggers?

I imagine it would as the same calculations are being done to determine whether a collision is being made or not; for static, non-moving colliders/triggers it’s a bit more streamlined. Moving a static one is like taking a brick out of its mortar and trying to keep the wall’s integrity perfect in the same instant.