This thread is filled with question begging. Leading off is "Nobody wants to come here". Following that is "but they would if the Twins paid them more." These are assumptions and there is no way to know if they are true or not. The Twins have retained their own players at a hometown discount (Gaetti, Hrbek) and have paid top dollar (Puckett, Mauer).
Let's look at Josh Willingham.
Josh Willingham's agent, Matt Sosnick, said Thursday to Jane Lee of MLB.com that he "got a good amount of calls last night and this morning" from potential suitors. Sosnick added Willingham is looking to secure a three-year deal and one preferably closer to his home in Florence, Alabama. [Nov. 4, 2011]
As December played out Willingham had narrowed his choices to Colorado, Cleveland, and Minnesota. Looks to me like Denver and Cleveland is closer to Alabama than Minneapolis. So did the Twins outbid those other clubs? One day after the Twins signed Willingham to a 3 year, $21M contract Denver signed Cuddyer for 3 years, $30M. There is no way to know, but I would think the Rockies offered more than $21M for Willingham (if he indeed got an offer from them) yet he signed with the Twins.
To summarize, there is no way to know if the premise of these statements are valid or not.

