Starting from the fact that I'm politically distant from the minister, or better, I'm politically opposite to the minister and to this government in general. It is difficult to trust this government, apart from the ideas they have towards Europe that are silly, to say the least. The fact is that this minister, that is the actual leader of the government, is in contrast with the other (supposed, but in practice inconsistent) leader of the government, who is totally against the olympics. And this contrast is exacerbated by the fact that a third city (Turin), whose goverment is of the same party of this second minister, has withdrawn from the bid. All this premise to say these two things: 1) not sure if this government will last to next summer (but even next spring), so probably they won't give any decision; 2) Italian politics is a mess and find something trustworthy is almost impossible, and this since the end of WWII.
However, my opinion is that in practice a way to have political and financial support from the government will be found, especially if Stockholm withdraws, officially or not. Also considering what happened in Veneto, that is where Cortina stays, this is a good chance to have external fundings to make that region on its track again. In theory.