In some games, positions are left behind in a state of unstable balance. Any move that falls close to the position, may change the status. Typically, a group is dead but could escape if only it had a stone to escape to.

Some times, those positions are very big in terms of points. Up to the point of giving instant victory to one or both players.

Some times, there are several of those positions in the board and they may even clash, becoming a single unstable position.

That instability, I understand is aji, however, is there a term that expresses the combination of aji with the size of the consequence of that aji being "resolved" in any sense.

A term that expresses the difference between a position that can be reactivated very easily but that's too small for the moment (a yose candidate), a position that's almost resolved but that's very big (a good ko threat), a position that's big and very unstable (urgent) and a position that's small and almost stable (slow).

Perhaps not the exact thing you are thinking of, but a term that sounds similar is temperature.

Threat comes to mind.

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Haengma may be what you are thinking. It is hard to say since the literal translation doesn't make much sense. http://senseis.xmp.net/?Haengma Haengma tesuji generally tries to extract the optimum value from multiple loose positions.