I agree that these names are kind of meh, but they stand for things that will mostly be chosen on their technical merit, and that you don't have to sell to your friends/mom/gf/brother/etc; so it does not really matter.
Right, good point. It is a quality of uniqueness for searchability and marketability. On top of my head I can only think of a couple of counterexamples: Windows and Messenger, but your point is still very valid.
I guess in practice, for search purposes, we will see some kind of suffix attached to the name, Element Chat or similar.
I was trying to address the point of the parent comment, that using common words is detrimental to searchability. I think that is true, but as shown by the examples I gave, it is not catastrophic and can be worked around.