I, unfortunately, see too many articles focused on how to stop saying sorry or how to stop being perceived as weak. I say "unfortunately" because I don't see so many focused on how to start being more empathetic or how to apologize more.
I think this all sends a subtle message about how dehumanized the workplace is ("if you say sorry too often, you are weak so people won't respect you") and how we always want people to behave in a certain way. (These articles are more than often targeted directly or indirectly to women. If these actions are performed by men, it's not stereotypically manly either, and that can't be. We want them to be sharks.)
I get where all this comes from, though. You need to be always perceived as strong and yada yada.
However, how long can we keep this performance?
We are always asking so much, and people are just breaking down. We sometimes just need to say "I'm sorry," even if we are not guilty of anything, and feel somebody has our back instead of bashing us for apologizing too much.
One can dream, so I developed this point further on my latest article (https://medium.com/resonates/instead-of-asking-people-to-stop-saying-im-sorry-try-this-5e35516c1090).