This article makes one valid use of "me and X":
> in an effort to score extra points with me and Carl.
If you changed that to "Carl and I" then took out Carl it would be "to score extra points with I", which is disturbing and wrong.
"… and me and Carl were quietly trying to weigh up which team …" "Me and Carl had a winner and …" "During the excercise me and a colleague, Carl, made ourselves available …"
>and thinked the way most of the team already worked and thought
Yes, that sentence in the first paragraph stood out to me too, but I really didn't expect for the article to gain traction.
I want to add that I can't suit everyone, there are things that annoy me about American English grammar that I can't change, and I wouldn't think about writing in the comments suggestions on how to fix it. Maybe that's just me.