Also, timeline issues: the Twins didn't extend any of Morneau, Cuddyer, Nathan, or Mauer until after Target Field funding was already approved in 2006. Morneau, Cuddyer, and Nathan all got deals after the Target Field groundbreaking in late 2007, and of course the only "mega-deal" was Mauer's second extension in 2010, just weeks before Target Field opened. (Complicating factor: Mauer was a hometown superstar, something the Rays haven't yet had?)
In fact, from a team payroll and revenue perspective, baseball's economics didn't get *really* out of whack until the early 1990's, with the new ballpark boom and cable TV rights boom. So the handicapped "Metrodome Twins" really only existed for about 15 years, between the 1991 champs and breaking ground on Target Field. And even then, we had the "head start" of two titles and future Hall of Famer Puckett in a long-term deal going into the lean years.
By comparison, the Rays have been in the Trop -- an accident of the 1980s, not unlike the Metrodome -- for 23 years, the first 10 as a hopeless expansion team, all during the modern ballpark/cable boom and still without a new ballpark on the horizon. (To be fair, the modern Rays benefit from the luxury tax threshold and draft/international spending limits, relative to the 2000s Twins, although how much is up for debate -- there are still massive team revenue disparities.)