Getting back to the original post...
"The AASHTO Manual is not quite clear. It seems to be saying that the O.R.L. should be used for an extreme circumstance. Can construction loads from heavy rigging equipment be considered one such circumstance? Or is it meant only for emergencies or life-threatening situations etc?"
Each owner agency has different rules, I have designed bridges for operating levels during construction after notifying the agency. In addition, some owners will post bridges for operating level in order to allow trucks from a nearby manufacturer, industry, shipper or school to pass over the bridge. Operating level posting require inspections on at least an annual (every year) instead of a biennial (every other year) frequency. Most owners will issue permits for special vehicles that exceed actual design loads on bridges up to the operating level (this is helpful for delivering bridge girders to the next bridge).
The way I understand operating level is that it can be used for a long time, but over time may allow for minor structural damage ( for instance: excessive cracking in the deck, or wear on the bearings) Inventory level should allow for bridge use for an indefinite period of time, Operating best used for permit vehicles, until repairs can be completed or other short term (compared to the life of the bridge) use.
In all cases, the owner should be made aware and give approval to using the operating stress level for determining load capacity, especially during construction conditions. (Construction conditions may in fact be controlled by other temporary structural conditions, like buckling and not by an operating stress condition!!!!)
Some states, for instance Pennsylvania, actually design bridges for an overload vehicle at an operating level in addition to a more normal truck design at an inventory level.