That’s not the root. The root is capitalism’s need for constant growth. You can still create a successful business via advertising without the need to turn to algorithmic attention maximizing feeds if the only goal was serving customers and keeping workers employed. The problem is that whoever put up the capital to start the business is unlikely to be satisfied with that. This is why independent media and worker owned media is seeing a rise in popularity. Sustainability is obviously much easier to achieve than perpetual growth.
You can't have perpetual sustainability without perpetual growth.
Also, capitalism doesn't need perpetual growth either (anymore than other system, that is). Independent and worker-owned media are still facets of capitalism, for starters.
Okay. Do you then consider an equilibrium to be inherently unsustainable?
If you take «growth» to be defined as d(something)/dt>0, I’d posit that any equilibrium by definition has zero net growth, whether it’s a static or dynamic equilibrium.