Weirdly reason I'm considering this is not that I wanna get the bike to be aero. But I mostly care about putting my body in an aero position when I'm on the flats. Let me explain.
I have been riding in a TT like position where my forearms are on the top of the handle bars whenever I can. (i.e. straight flats where I don't have to do much gear changing or turning).
A pro doing this pictured below:

My body feels much more relaxed and I observe that I can push much more power like this. One obvious problem I'm having is forearm pain. While it's not too bad during the ride, I usually have bruises the next day especially if it's a 60 mile mostly flat ride.
I know obvious solution is to get TT clip ons but 99% of my rides involve huge climbs and let's face it, they look ridiculous on a non-tt bike

Question then is, do you think flat top aerobars might help with this situation? does anyone do it? Maybe I should find some super cheap ones to experiment with.