I prefer they don't. Not only do I dislike pretty much every free agent left, but I'd rather the Twins not be able to try to save face by pretending that they actually went out and attempted to do right by the roster in free agency. Like going to the grocery store, forgetting your wallet and digging out all the coins from the ashtray and down in the seat cushions. 'No, see, I got it, it's the same amount! I just had to put back the milk, bread and Hamburger Helper. I still got the Doritos and Mountain Dew and that's REALLY what I needed.'
I mean, they knew they'd have some money to spend, even if they didn't know how much. It's not like they couldn't have signed one of the better players who didn't break anyone's bank.