While you might have been able to “gotcha” the court, it would also have been a sure fire way to end up in contempt.
It usually ends up working the other way around. Companies will bend over backwards to assist the government even when the law does not require it or when a warrant would normally be required. When a company is saying otherwise "we will stick it to the man" that is just a show to obtain confidence of customers and prospects. Lavabit [1][2] was a perfect example of what happens when a company tries to fight this paradigm.
[1] - https://en.wikipedia.org/wiki/Lavabit
[2] - https://www.theguardian.com/world/2013/oct/03/lavabit-ladar-...