  We examine the relationship between the actions of two Weyl groups on the
cohomology of a smooth quiver variety: the Maffei's action of the Weyl group
associated to the quiver, and the symplectic Springer action of the
Namikawa-Weyl group of the affine quiver variety. We show there is a natural
map from the former group to the latter, which is an embedding in favorable
situations, and this map intertwines their actions on the cohomology. This
answers a question raised in arXiv:1904.10497.
