Agree with your first sentence but he is described as being on the very left wing of the party and, if he becomes PM, it will be with the support of the left wing, not the blairites.
> he is described as being on the very left wing of the party
By whom, and why are they worth taking seriously? Some politicians these days say all kinds of deranged nonsense about their opponents, and very often paint them as "far left" regardless of actual position. It's not worth taking at face value if it comes from there.
His 2010 leadership bid was very much on the left and now he is clearly pitching on the left, too. It may not be the furthest left but it is very left nonetheless and John McDonnell's support is not random. ot sure what's controversial or "deranged nonsense" there, strange...
Obviously we shall see what he actually does if he becomes PM.