One thing that makes modern grids more susceptible to the oscillation problem, and it is a genuine engineering discussion rather than a controversy: inertia.
Large rotating generators store kinetic energy in their spinning mass, which naturally resists sudden frequency changes. Inverter-connected sources do not have that mass, and a grid with less of it responds faster to disturbances — which cuts both ways, since fast response can also be used to damp oscillations deliberately.
Managing this is an active field, with synthetic inertia and fast frequency response as the main tools. It is one of the more interesting engineering problems of the moment and it is much more specific than anything the phrase in your question conveys.