The problem with the "lawful order or request" split is that, even if they make it very clear, there's the implicit threat of escalation if you don't agree.
Today you refuse a request. Maybe tomorrow they convince a judge to let them very publicly come to your offices to take the data.
I suspect that fear drives many people and companies to cooperate, even if they understand that there's a choice.
I believe the next step after a request would not be a search warrant, it would be a warrant for the data lawfully requested. A company would not be able to refuse such a lawful request. IANAL though, so what do I know.
Today you refuse a request. Maybe tomorrow they convince a judge to let them very publicly come to your offices to take the data.
I suspect that fear drives many people and companies to cooperate, even if they understand that there's a choice.