What if you could travel through time with the power of your imagination? What if you made a device that made all gravity in the universe go away? The what-if you're proposing is like that.
You don't know what quantum entanglement is. You can't communicate faster than light with quantum entanglement. You can't send information with it. It's basically like person A sends 2 envelopes, one to person B and one to person C, and B and C both know that only one of the envelopes contains a hundred dollar bill. Person B opens his envelope and sees there's a 100 dollar bill in it and instantly knows person C doesn't have a hundred dollar bill in his envelope. Did person C SEND any information to person B? Did person B SEND any information to person C? No. There's no message passing between B and C, it's not like person B could MAKE his envelope the one with the hundred dollar bill in it or MAKE it the one without the hundred dollar bill in order to send person C a single bit message of his choosing, and the fact that he can't control which envelope he ends up with is why you can't use this to send information. Quantum entanglement basically is that, except that each envelope is Shrodinger's cat box until one of them is opened, the envelope that the hundred dollar bill is in isn't decided until one of them is opened. But that hardly matters I think. It's really quite unremarkable, actually, I don't know why Einstein called it spooky action at a distance, it's really pretty boring.
Ok. As for the actual INTENT of your question. It doesn't NEED to be with no delay though. Even if the person who is right outside the event horizon of a black hole (and that IS what it would require for a 100-to-1 time ratio, it wouldn't be anywhere near that even orbiting right above the surface of a neutron star) took years for the message to get to Earth because he's light-years away, when it did get here, YES it WOULD be in slow motion. Slowed down in every way. If it was sent with a 100 MHz carrier wave, the person on Earth had better tune his radio to 1 MHz, and the message contents will be slower, if he's talking, his voice will be infrasonic. And whatever you send him would be super fast from his point of view.