Even if this buck relocates, was it because of the camera or was that just a coincidence?
No way to say for sure. Time will tell though.
The manner in which cameras are used is something we don't talk about much. For a lot of us, especially land owners, cameras are monitoring tools. They're passive and static, ever present fixtures that deer grow up accustomed to. There's no reason to fear them.
But for aggressive bow hunters a camera is active, being set up for a reason and only for a certain amount of time before being moved again. When I find and choose a buck to hunt I will go in hard scouting, hanging cameras, learning all I can. I go in at least once more for more scouting and card checks, cam re positioning. Once I have what I think is the info I need to kill him, I choose an appropriate time and I hunt. Within 1-3 sits I've either killed him or spooked him far away. The entire hunt takes maybe a week on the long end.
From the buck's perspective, I am suddenly and grossly invading his personal space and leaving these little clicking, flashing boxes on trees with my scent. While probably not necessarily threatening at first, it is apparently alarming and their demeanor changes to show it. By then it's too late. Either I kill him or spook him off never to see him again. If he does survive then it's reasonable to believe those cams and scent that had him initially alarmed meant that he was in imminent danger. And although he may not be able to analyze or reason what it all means, you can bet going forward every time he encounters human scent or trail cams there will be an instinctive urge to flee.
Cameras on your property are set in place forever and pose zero threat. Fawns grow up around them and raise new fawns around them. But cameras used by mobile hunters chasing specific bucks are different. To an experienced survivor buck they may as well be the hunter himself.