Not really, if the amount paid in scenario 1 is different to the amount paid in scenario 2, they’re clearly different outcomes aren’t they.
The likely outcome is there’s lots of talk and rumours concerning different clubs, one steps up and makes a realistic offer which in turn meets our valuation and if the player agrees terms he goes, that could then be judged his true value.
But if 2 3 or more clubs decide they have to have him and make bids and counter bids, we would probably end up trousering a few extra million, that would be judged as an inflated value due to demand.