It's a reasonable question. In general, I'm not sure how much that risk changes though even if they do name a POI or suspect. Unless you've been charged with a crime, presumably, you're free to roam? [ Sure LE can ask/request you to "hang tight", (and they may very well have in this case, with BC responding in kind) but unless they arrest you, I don't think it can be enforced (even if they name you as a suspect/POI) ]
I think one of the reasons an arrest can come before an indictment is in cases where flight-risk is considered significant (with another driver being considered a risk to others/society).
[ and even then, LE would certainly want to have significant enough evidence to make that arrest hold through to indictment and not just be temporary ]
So, as I understand it, even if you're a suspect/POI/none-of-the-above, you're free to go/do/be as you please (which makes sense).
Not to say LE isn't keep an eye on you in all of these cases, and hopefully a close eye (in the Laurean case (in NC) he was surely a POI (even if not named), and no doubt they were keeping an eye on him, but he managed get to Mexico before ultimately being tracked down).
Certainly if you're an (unnamed) POI, and you go on the lam, I don't think it helps the "optics".