Yes, but the opponent will only see a largish region, probably [a few 1000 km big UPDATE: from other comments here, it seems the region can be much smaller], where the GPS is off and the opponent would usually already know his location to that precision.

Still it might be a worth-while excersise for the NSA -- not so they can target Putin. But to provide one more signal for when he makes some unexpected, hush-hush trip to some central Asian republic or some-such.

It would also be fairly short-lived in battle, since the spoofer is broadcasting its own location in a highly accurate "place ordnance here" manner.

More likely it is broadcasting the position of the satellite it is spoofing, with altered timing.

edit: that doesn't prevent other means of locating the source of an rf signal

You can't spoof the encrypted signal by simulating a satellite, you have to capture the real signal and rebroadcast it as an overpowering signal so targets can't get the direct broadcast at their location.

This means that everyone who is getting the overpowered signal will compute the same location, which will be the antenna of the spoofer.

Let's think through that. In order to spoof GPS, you need to overpower the true GPS signal with your own. You put some transmitters in a location, and anyone attempting to get a GPS fix while in that location gets spoofed data and the wrong location.

Now, if you're close enough to get the spoofed signal, you're close enough to see Putin's entourage and know he's probably nearby. If you're not close, you don't get spoofed. So I'm uncertain of the utility of this Putin Detector.

GPS signal is very weak, it would not take much to overpower the signal from a good distance I think.