Rupert Murdoch absolutely is capable of doing all that. He’s absolutely done far more harm globally than Zuckerberg.
The concentration of media target for Murdoch (now: Lachlan Murdoch) is nowhere near Zuck's reach. Meta has 3.6B daily active users vs 1.5-3M viewers in Fox / primetime. Has he done more harm as through the perspective of time? Probably, but you'd be kidding yourself if you don't think Zuckerberg will be the more evil of the two if he exits control around the same age as Murdoch. Zuckerberg is only getting started and he's capable of destroying Murdoch if he so chooses.
We know that the Murdoch empire knows they are losing ground as well - which is why they need to acquire a platform like Roku [0]. But honestly the legacy of Murdoch may end up closer aligned to Succession than the empire that Zuck has under his finger. Also Zuckerberg has global influence that's unrivaled, Murdoch has contributed all of his efforts to erosion within, mostly, NAM.
TL;DR - Zuck is worth 9-10x more than Murdoch ($211B vs $21B) and reaches 20-30x more people (3.6B vs 3M) on the daily. A 20% drawdown of Meta swallows TWO Murdoch empires with a hell of a lot of spare change.
[0] https://theankler.com/lachlan-murdochs-fox-roku-surprise-and...