You really need to download and thoroughly read the DAN handbook for the state in which you reside. The available coverage and specific wording on covered dives appears to be different for some states compared to the rest. For example, my policy as a Texas resident states the following:
"Covered Dive means a recreational dive or diving while a scuba instructor, divemaster, underwater photographer, or while performing research under the auspices and following the diving safety guidelines of the American Academy of Underwater Scientists (AAUS). A dive begins upon entry into the water and ends upon exit from the water. A Covered Dive must begin while Insurance is in force. Covered Diving Accident means DCI as a result of a Covered Dive within the 130-foot (40-meter) limit. Preferred and Master Plans only, it means DCI or any Injury as the result of a Covered Dive, regardless of the depth."
Since I only do recreational dives, I did not check into whether or not a tech dive would be covered, but if I did engage in tech dives, I sure as hell would get written verification from DAN that my specific dive profiles would be covered. I sure would not want to find out that I really was not covered when I thought that I was.