Well, there’s been evidence before of things moving faster than light.
Look up action at a distance. It’s something that Newton assumed was true, and Einstein needed it to be false for special relativity.
If Gravity works as an action at a distance, then this is just huge, absolutely huge. It means no gravitons, etc.
One of many "family secrets" the Scienceists don't like to talk about for very long before changing the subject is the near total non-detection of "gravity waves." And they've been looking, looking, looking for a long time, in some very clever ways. Like you, it's occurred to me also that entanglement may be hold the answer to that very inconvenient problem. The attraction all mass hold to all other mass (with a strength proportional to the inverse square of it's distance - to the present limit of our ability to detect - see "The Pioneer Anomaly) might well be a remnant of some quantum state that existed in the primordial singularity.