I love blue rare filets, but I don't enjoy a ribeye or strip that way because the fat doesn't have any time to render and ends up with a gross texture.
For a really good ribeye (assuming I have the time and energy) I'll smoke it on low up to rare then sear it so it comes out medium rare.
FWIW, you can do this fairly easily with sous vide and still ensure that it's perfectly safe.
I had a steak like this, something like 20-odd years ago (i'm nowhere near wealthy enough to go to nice steakhouses now); it was amazing. I don't intentionally eat any steak cooked more than medium rare at this point.
That's a prime rib roast and it's beautiful. That's closer to Med Rare than Blue.
Someone mashed it with a fork to get those red juices to the surface. (mioglobin, not blood) And that bright red color of the flesh is because it was just cut off the roast and is only just being exposed to oxygen.
It's just as likely as any other meat. If it was frozen and shipped beforehand, less likely, so with fast food beef you're probably right; but the reduced chance of infection comes from actually killing bacteria present in the meat, meaning you need to hit the elimination heat threshold for e. coli and the other usual suspects throughout the cut.