I was already a fan of City for nearly a decade and was predisposed to enjoy this content.
Maybe it will help attract new fans.
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Far, far more important for me is the style of football that City play - exciting, attacking, high scoring football - and our success - winning the P/L 3 times in recent years as well as League Cup and FA cup wins.
This is what attracts new-comers to route for City. Defense-first is boring.
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Contrast this to the "genius" of Woodward - hiring a defense-first manager and then not backing him in the transfer market. ManU play boring, unwatchable football, aren't successful, and if you're an outsider, it's very hard to see why you'd ever want to route for ManU. Were Amazon to do a similar documentary about ManU, it would have no effect on prospective new viewership IMO.