No, Blair won because people still hate the Conservatives. He lost his large majority and will now have to work with the other parties, instead of steam-rolling legislation through the house(s).
Oh, and the economy being strong is another big advantage for him. But I get the feeling their may be trouble ahead on that front...
So, given the major downturn in the economy that is about to be unleashed, and fading memories about how bad right-wingers in government really were, you can expect the poodle to retire pretty soon, shortly followed by his entire party been thrown out of government.