She's perfectly friendly in the comics. Her job was as an ambassador. Making friends wasn't the issue. If you add up all the characters that have been in her supporting cast since her publication, she has the largest number of friends in superhero comics. The issue is writers remembering them.
And we had it for 44 years in the comics before they got rid of it. Plus a few nods to it in other media like the Lynda Carter show, live action movie, the 2009 animated movie, the David E. Kelley pilot and two attempts to bring it back in the comics.
Besides we see secret identities from almost everyone else in DC comics.
The extent to which Diana “lectures” people in the comics is greatly exaggerated. She doesn’t lecture any more than your average superhero and is arguably less prone to it than Batman and Superman.So is communicating with animals and we rarely see that either, when she does connect it doesn't seem like it's with an equal because she's the lecturing, wise, goddess/princess/superhero that's standing there literally wearing armor.
Or we can just have her get shot again since that seems to do the trick.That's why it's time for a change, Diana Prince adds a layer of vulnerability and reliability that she just doesn't posses as Wonder Woman 24/7. It also shows she can be a regular woman in Man's World and face all the complications that go along with that and prosper and excel without relying on her superpowers.
Seriously though, the idea that Diana needs a secret i.d. to be vulnerable to sexism ignores all the ways in which even women in high authorities face sexism.
Diana Prince just offers nothing in modern times for Wonder Woman. She isn't needed to make Diana seem more complex and if people want to read about a superhero whose an unassuming nerd in their private life they'll just read either Superman or Spider-Man.