Well in that example she could say she can't talk about the specifics. That would avoid the whole problem of needing to know what one side would ask for in exchange for their waystone knowledge.No the concept iteself works. My objection is that for this sort of thing they're going to want details (apart from anything else, you can't make a better offer if you don't know what the other offer is) and if Mathidle fails to correctly judge what the Druchii would be willing to offer (something Ulthuan is in a good position to know because they have spies in Naggaroth and a more complete picture of Malekith's personality) then Ulthuan will assume that it's a Druchii trick or they won't be practically able to match the offer (not impossible, Malekith is an absolute ruler, no one in Ulthuan is) and then it might ruin negotiations. Conversely, Mathilde could misjudge Ulthuan's responses and get the Druchii to think something is screwy (I think this is less likely, but it's still possible she'll, for example, lowball Ulthuan's offer and make the Druchii think the Asur thinkt eh project is unviable or something).
It is, IMO, a risky plan. More risky than actually just negotiating with one or both sides.
Conversely dealing with just one side means that with no competitors the seller has all the advantage and can set the price as whatever the hell they want. If we're dealing with two sides though we may as well have the ability to perfectly lie since it grants a great advantage.