I would think that that on the whole the sense of jubilation when Blair goes will be pretty universal.

The difference is while the country is divided between people who adore Thatcher and those who detest her, pretty well everyone (apart from a dwindled set of failed careerists on the right of Labour) see Blair as pretty despicable. In a sense he's a genuine one nation man, uniting a divided country in a shared emotion of contempt.