I can't help but think that the people who keep reminding us that New Labour won from the centre are missing that the exciting stuff about New Labour's offering which enthused voters at the time, and which forms the backbone of the defence of New Labour nowadays, were left of centre policies (largely from the Brownite wing) which were, for the time, a lot more radical than anything the current rash of centre/right Labour figures would be capable of stomaching. A lot of them only happened back then because the centre-left had a much louder voice in 1997 than they did in after 2005, by which time Blair had had three elections to pack the PLP with allies on the right.
New Labour was at its best (and I think this is as objective a statement as is possible when you're talking politics) when it did normal, centre-left stuff like spending public money on public goods, raising pay for working people and trying to reduce inequality of opportunity. It was at its worst when it did stuff right wing governments do, like demonise immigrants, asylum seekers and working class people, sell off public assets, deregulate financial markets, make dodgy deals with big business and send troops to fight pointless and counterproductive wars which make us less safe than we were before.
I'm someone with a lot of gripes with New Labour. I think they had a golden chance to fundamentally and lastingly make this country a better place to live and they squandered it, leaving behind little of any merit that Cameron wasn't capable of trashing in a matter of months. I also think their various feck-ups/mask slip moments, such as pandering to the right on immigration and asylum, failing to address regional inequality, bottling breaking up media empires, normalising the spin and sleaze that was meant to be what the Tories did and chickening out of constitutional reform, are a massive part of the reason we're in the situation we are now as a country. But Jesus they were better than the shower who run the party nowadays.
The current Labour Right is like someone has taken New Labour, removed anyone willing or capable of doing anything remotely worthwhile and let them inbreed for a few generations.