Maybe not.
But one way or another we need to show a tidy profit on him. If that profit includes the value of a new player as part of the deal, then Barnsley are entitled to their agreed cut.
If we welch on that, then good luck with any future business from lower/foreign leagues.
....I suspect we can't Welch on the % owed. I also suspect there has been a lot of discussion with City on who pays the monies. I'm sure Barnsley will rightly get their cut but some/all of it might be paid by City.