I don't think so. Most DRM software has remote shutoff capabilities or ways for the company that controls the DRM to have ultimate control over the device. The police have already been nosing around about having the ability to shut off cars remotely. I imagine they would really like a way to grab all the data from something remotely as well, or get it to report its GPS position, or whatever. DRM can give that to them.
If I don't stand firm on my principle that the ultimate controller and owner of all of my devices is me, I'm opening the door to allowing that kind of control.
I don't think I'm being all that paranoid. AT&T was perfectly happy to give the NSA a giant data tap into all the traffic going over their network without even telling anybody. I think Apple would be willing to do the something equivalent if leaned on in just the right way.