Maybe up to a point, defined by rim depth, which I’d put somewhere around 25mm - 28mm. I don’t know that there are many CF rims below that profile height—what would the point be of not maximizing the material’s advantages?— to compare to, but looking at the examples I gave above, it’s pretty clear that once you hit 30mm, CF rims really have a lower weight advantage.

Regardless of whether a rider thinks they’re getting aero benefits from a deep section rim, or whether the weight makes a difference to them, I’d think they want the deeper rims anyway for the improved wheel strength.

The only reasons not to go CF are costs and possibly looks, because low weight, strength, and aerodynamics are firmly advantages to carbon fiber.