The webs of W-algebras introduced by Prochazka-Rapcak in physics provide rich perspectives on the ``hidden hierarchy” among the type-A W-superalgebras with hook-type W-superalgebras as building blocks. One such perspective tells that W-superalgebras in type A should be obtained from the affine vertex superalgebras through reduction by stages (partial reductions) associated with hook-type partitions. As Morgan conjectured in the finite setting, there is a very good chance that two affine W-algebras are connected through partial reductions along nilpotent orbit degenerations in general. In this talk, we discuss how to see such a phenomenon through screening operators when nilpotent orbit degenerations are ``basic” in the case of classical Lie types and explain some applications to their representation theory. The talk is based on joint works with Creutzig-Fasquel-Linshaw (arXiv:2403.08121), Fasquel-Fehily-Fursman (arXiv:2408.13785), and Fasquel-Kovalchuk (in preparation).