Well, I can speak to conflicts of interest.
I work in the government - I won't specify which level (fed, state, local,) or my position, only that people who administer or let contracts have to constantly undergo ethics training. Same basic issues always come up. You know what? For us grunt level guys (don't drag Halliburton into this,) the appearance of conflict of interest is something to avoid, as a guideline. In other words, they may "not be able to prove anything," but the creation of doubt can be such a natural conclusion, that it is less costly to preemptively avoid the impression, than to correct it during legal procedings or worse yet, in the press.
Obviously they don't have the same rules. But I will say this - a current association would be a clear conflict of interest. A past association plus the timing of certain events create the appearance of conflict of interest. Hurst "not being Adam's agent, just his lawyer" is something of a fig leaf too. An "agent" would mean the client will let you sign for him, if "agency" works as it does in an admittedly distant sphere. "Just his lawyer" could mean he tells AV whether to sign. Maybe he's "just Belichick's lawyer" too.
I haven't followed the controversy that closely, but it looks like some of the hairs may be finer than they first appear - first glance reaction, admittedly reacting to a "defense" post, not primary information.
PFnV