Screw that. If I'm not getting paid for it and the company isn't invested in my well-being or I'm seen as a replaceable cog, then I'm not taking on extra responsibilities for no pay or reason. I'll let the executives worry about business shortcomings and only do my job. Not two others as well. If I'm being paid to own my work and its attendant liabilities, I expect to be paid for that risk.

On top of that, agreement isn't always necessary. You can disagree with coworkers and still execute just fine.