I suggest that like many parts of the LOTG there is a danger of intelligent referees over-thinking a set of words or the meaning behind them.
In the UK if a player shouts in such a way that the referee believes they have gained an advantage for their team, award the indirect free kick (a caution is not usually needed) and move into position for the restart.
There is no need to explain to players why the ifk has been awarded, but if challenged a finger to the lips and a shrug suffice.
My favourite ever on this point was half a century ago when Peter Osgood played up front for Chelsea at Crystal Palace.
As a cross came in (I was a spectator behind tbe goal) Osgood shouted "Mine, John"
Four Crystal Palace defenders, including goalkeeper John Jackson and three other John's, stood and watched as Osgood nodded the winning goal.
He disappeared to the halfway line wbile the inquest began - "Who called for it?"