I didn’t because I got the sense when I visited that they genuinely didn’t care. I think if you got a really good score it’s probably worth sending, but otherwise I think it’s not very important.
Not sure for that program specifically, but I have heard that SIPA isn't always great with funding (but anecdotally, I'll admit). May as well try to negotiate, worst possible outcome is status quo.
I marked that I'd be open to either DC or Bologna. Did you specify which campus you wanted from the outset, or did you also select that you were open to both?