Re: Commodores in command of Starships?
I still think the simplest explanation in-universe is that Wesley was CO of Lexington, like Decker and Constellation, but as he was acting in a higher capacity as task force commander he wore the badge associated with higher command.
That actually seems more convoluted than he was a flag officer commanding the task force.
"Just give me two seconds, alright, you mad bastard!" - Montgomery Scott, Star Trek Into Darkness