That's probable but it's probably gonna come down to the saneness of the person.Anyway, as for the impossibility of the project, well as long as money is involved, no one cares about the feasibility. They'll still join the company as long as they're payed big bucks for the research. I'm sure the big boss, before even starting the syndicate, is a rich man.
And scientists research the impossible anyway, we have that kind of organizations going on legally that has a goal in mind like extending ones life, teleportation or free energy. Although some are secretive, they still abide to the laws. No one really bats an eye even if it's not feasible as long as the project, somehow, advances human society. And reviving dead, to some, is a step forward.
Well for the boss having an undesirable feature, the boss could hire someone to be his/her puppet as CEO, if that's the case. A person like Vermouth would do.