The constant criticisms and ridicule thrown at Corbyn would continue if someone with the same values and policies succeeded him. It is really his criticisms of what Heath called the "unacceptable face of capitalism" - the ruthlessness exhibited towards the less well off, the poor regulation of banks and other institutions, the determination to privatise public services at whatever social and financial cost, the prioritisation of the wealthy over the rest of the population - that the right of the Conservative Party and their wealthy donors hate and fear. As with all Labour prime ministers (but more particularly with Corbyn because, at least in the last few decades he is a person identified more strongly with socialist values, there has been every effort expended to ridicule, criticise and blacken the names of Labour leaders - eg Wilson, Foot, Brown, Miliband.
The only leader who will be acceptable to the wealthy and their cheerleaders in the mostly right wing media is someone who is willing to bend over backwards to accommodate the powerful and wealthy. Blair did some good things when he became prime minister but his acquiescence in the face of the powerful - allowing "light touch" financial regulation, initiating private finance initiatives, extending licensing hours, and changing the gambling laws - have had very negative economic and social effects further down the line.
As others have pointed out, this cosying up to the powerful, such as Murdoch, left him "out of the firing line" and enabled him to get elected. This is the dilemma for the Labour Party but, for me, despite this major difficulty, Corbyn is the best option.