I have a lot of hours and traps in the "Hummer" and even though the engines turn at 100 percent RPM and thrust increases/decreases with propeller pitch, we still went to MIL power in the wires and waited for the "yellow shirt" to give us the "throttle back" hand signal. I never flew the eight bladed propeller version at the ship, but I don't believe there was a change in CVN procedures with the introduction of the NP airplanes.
That was really close to a ditch, underwater egress with the HABD bottle and a cold swim. If you look closely, you can see a little water spray off the main landing gear as they climb away. Unbelievable... From the article, there was a crew of three on board, so they were probably doing Carrier Qualifications and were light weight....and, although the E-2 has a lot of excess power down on the deck....each engine makes 5100 IHP which is a lot for a aircraft that weighs in at around 56,000 lbs, that was still really, really close....
VAW-115 off the Midway had a similar accident many years ago. The Power Lever lock, which prevents reverse availability during CVN operations jammed on deck, preventing the crew from adding power after a bolter and the aircraft went off the angle deck into the water. I believe 2 of the crew members were lost at sea.
It's a dangerous business, be safe out there....