Yes, this is a common misconception*. VLS does not move during manoeuvres, but it does move (gradually) with changing aircraft mass and (quickly) with changes in the wing shape, i.e. speed brake deployment and flaps/slats.
Valpha prot does move during AoA changes, e.g. manoeuvres. Sometimes it can climb above, and hide VLS.
*Possibly some do not clearly understand the terminology: VLS is the thinest amber outlined strip against the lower segment of the speed tape. Valpha prot is a wider amber and black "tiger's tail". Normally seen below VLS, but as I say, it can climb above it.