This is something I've looked for in the rulebooks, FAQs (official and BGG Wiki page), quest books and forums. I can't find any statement about this.cPerhaps this is written somewhere and I've just overlooked it.
The doubt stems from the fact that a figure must be adjacent to an Objective Token to interact with it (pick it up, make a skill test, etc...); it is never said that such things could be made while "on the Objective Token".
We had several situations during quests where moving through a space with an Objective Token would have mattered. LOS is of course less important in DE2, since you can trace LOS quite easily in most situations.
Does someone have an easy answer on this?