Corbyn would have gone back even further to Michael Foots left wing barm pottery.Not just Brexit Britain. He wanted to return Labour to Kinnock's labour, which as history as shown was a disaster for the party and wasn't a bit media savvy. Blair was cute, cosied up to Murdoch, and soften their core values and got himself elected.
Good politicians realise the importance of the media (rightly or wrongly) Corbyn still stuck in Kinnock's war with Thatcher never grasped this.
Blair was just a red Tory who Murdoch could trust (and own) at the right time after a series of weaker and weaker Tory Government's rocked by scandals and ineptitude