Yes, I like narratives that subvert expectations.
The idea of Lazard (and Hollander) as the mastermind behind Genesis's defection makes a lot of sense and is a very appealing scenario. For one thing, it explains why Genesis would act in a way that seems out of character for a SOLDIER (ie, as if he had a mind of his own). Also, in this interpretation Lazard's character make a lot more sense. Taken a face value he seems like a rather well-meaning yet confused man who hates everything Shinra stands for yet is trying to do his best for his SOLDIERs, who gets swept up in events beyond his control and ends up receiving a punishment out of all proportion to his crime (always a sign of bad writing).
I endorse Kev's idea that President Shinra secretly tried to help Lazard and foster his career. Hence the appointment as Head of SOLDIER. Far from being grateful for this promotion and appreciating it as a sign of love and trust, Lazard, remains bent on revenge. Loathing Shinra and all who sail in her, he is disgusted and repelled by the 'freaks' in SOLDIER, whom he considers to be no longer human. Nevertheless, he sees that he can use them to his advantage. He finds a fellow traveller in the disaffected Dr Hollander.
Once Genesis' degredation begins, Hollander lures him into defecting from Shinra with promises of a cure, and Lazard orders a number of the Seconds and Thirds in Wutai to follow him. These guys don't realise they're not on bona fide maneuvers until it is too late. Genesis agrees to go along with Hollander's experimentations on the 2nds and 3rds in the hope that this will lead to a cure for his own degradation; thus he is morally compromised and becomes "a monster", inextricably bound to Hollander and Lazard. Hollander uses Genesis's degenerating G-cells to create an army of mindless clones to do his and Lazard's bidding. Angeal defects from the company out of disgust with Lazard; his sense of honour will not allow him to take orders from Lazard when he's actually fighting to save Genesis from Lazard's clutches and expose him as the self-centred traitor he is.
When the Turks get too close to the truth, Lazard flees.
I always thought it was beyond belief that he would agree to be injected with Angeal cells, but maybe he got wounded at some point and it was either that or die. Anyway, I like the irony that the man who thought of SOLDIER only as sub-human freaks to be exploited for his own personal revenge, becomes, through cloning, someone for whom the welfare of his SOLDIERs is his prime concern.