I have a theory. In the first episode Tyrell mentioned that like Elliot he had computer skills. This was also confirmed when Tyrell hacked that guys cell phone. We also know that the underground hacking crew mysteriously backed out at the last minute on the take down of evil corp..... Which so happened the same time hat tyrell "coincidentally" ran into Elliot at that facility. I do not think its that big of a leap to believe that Tyrell is involved in that hacking group and that's why he is extra determined to sink to any level to get the CEO job. I don't think he wants to take down Evil corp like Elliot. I think the organization wants the power since Evil corp is like Microsoft and basically has everything connected to each other.
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Thought the Chinese Black Army already got into Evil Corp with the music disc so need of Mr. Robots crew.