The notion of a "\(G\)-equivariant commutative ring spectrum" is ambiguous and can refer to many different flavours of equivariant commutativity. Passing from such a ring spectrum to one of its localizations by inverting homotopy elements typically decreases the extent to which it is equivariantly commutative. I will describe this phenomenon in detail in the case of the \(G\)-equivariant sphere and topological K-theory spectra and their decompositions into idempotent summands, thus making some of the concepts introduced in Mike Hill's lecture explicit in a fundamental example.