Yeah let’s do a little thinking and math for our 9” and 12” weaponry and the diameter of their base, as well as needing to be within 6” of obj for standard scenarios. No, there isn’t a good chance they left an objective open.
Yes, TFH is once per game and they have 4 big monsters that own any objective they touch and manipulate the battlefield objectives. The clock is ticking for scoring your points, so they’re popping it each turn to dictate who you do and don’t want to target.