Yeah I'm pretty sure. Pearce detailed exactly how they were arranging it in the emails. CAS decided UEFA didn't have proof because they couldn't prove Pearce was lying when his testimony contradicted it. They ruled Pearce's account was "not incredible". If you remember at the time Stefan thought this was an incredibly risky and ethically dubious move by City but they got away with it.
What happened and what UEFA could prove are not necessarily the same thing and IMO it's very foolish to assume that because UEFA couldn't prove something or the CAS panel split 2/1 on something, that the Premier League can't prove it or can't convince the new panel to reach a different conclusion.