Hmm, sounds like you've got some dyfunctional managers. I've never personally witnessed management faking urgency on a project just to get productivity on it. Management is generally charged with making sure ICs know what the priorities are as set by Product. It's possible that Product changes its mind often, confusing everyone. But if Product, Management, and ICs are confused about what your "critical business functions" are, I think you've got some systemic leadership problems.