I think "hyper aware" takes it a little too far; more aware than a reasonable person is of his wallet, certainly, but depending on how you carry it (ideally such that you're in essentially no danger of violating Rule 2), as long as it's sufficiently concealed that you're not in danger of someone snatching it, it should become a routine thing. A very safe routine thing if done right, but as Massad Ayoob comments in his great safety video that there is a danger of relaxing too far and treating it like "Fluffy".
I certainly put more awareness into my surroundings, which could be key to my using it successfully if needed.
Someone may indeed include a firearm in their "EDC" but there should be a constant and sharp distinction between that item and all the rest.
If you are not hyper aware of a firearm you are carrying, you should not be carrying that firearm - no matter how routine it is.