I'd say there's almost no chance that Koeman wouldn't have known what RB was on and what he was being offered....in fact I'd be highly surprised if he wasn't consulted on the new figure.
Let's all get real here: Koeman does NOT want Ross Barkley at the club. Imo HE would have been the source of the low balling and what is likely to have happened is that the board, fearful they'll lose cash in a sale, have upped the offer to keep him here.
I think that ^^^ won't be too far away from the reality of this situation.
If he didnt want him, he would just say, no need to sugar coat.