Narkissos,
Basically (and contrary to a widespread misrepresentation in popular "Bible studies") names don't mean. The function of a name (either of person or deity) is to point to someone, not to mean something.
Even when names are identical with nouns with a clear meaning you don't normally think of the meaning of the noun when you use the name. If you have a friend named Rose, you will not think of the flower every time you call her name. And when you do, you will make it clear that you do by special expression. Functionally, "Isaac" only means "laughter" when the context explicitly recalls the meaning of the noun behind the name. In most cases where Bible texts (e.g. Genesis) play on "names meaning" what they do is actually a pun, or an artificial (popular or not) etymology projected on a name, not its "true origin" (if that means anything).
This I believe is the case with Exodus 3, which "explains" yhwh by the distinct root hyh, "to be(come)". It is a late and artificial etymology. From what meaningful word (in which language?) the name actually derived is a matter for guesswork. One of the most common suggestions is that it might have originally been related to the idea of "blowing" (wind, storm, breath), which has a number of echoes in the Yhwh texts.
Outstanding post!
Thanks. zarco