Interesting. Your comparison reminds me of something from Lacanian psychoanalysis: the idea that people often mistake themselves for the symbolic labels they occupy, their title for instance. Like a doctor who would praise himself for being a doctor, a president a president. From that perspective, both versions of the Tao Te Ching line point to the same thing: what can be named, praised, or socially recognized isn’t the true underlying reality. Different phrasing, but the same structural idea.
More generalized, any kind of symbol representing something is not the something. The social labelling is very accessible, true now and true then.
There’s a Zen koan about that (with Zen coming from Chang which came from a meeting of Buddhism and Taoism in China) — about the finger pointing to the moon, and how all but one student looked at the finger.
In a different example, there is the distinction of virtue signaling and virtue (the “Te” in “Tao Te Ching”)