Same in every other turbine airplane I've flown prior to the 737/transport category aircraft. Extraordinarily uncommon, but I do know at least one person who managed to lift both of the throttle guards/lifts and shut both engines down while starting an idle enroute descent. But in that case, they had like 15,000 ft remaining to get them relit
Every tactical jet I know of is this way. Throttles aft to idle, over a detent to cutoff. On aircraft much older than you, the T-38 is a good example, they had to be retrofitted with a “throttle gate guard.” Basically the idle to cutoff detent was so worn down on these jets, that it was very easy when going back to idle, to slide past the worn-down detent into the cutoff range. The throttle gate installation was a fold-up mechanism attached to the throttle quadrant, that snapped into place and physically blocked going into cut-off. It was engaged after engine start when both throttles were in idle, and disengaged after pulling into chocks just prior to shutdown (or airborne if needing to make a shutdown for an EP).
Speaking of idle detent, some aircraft has some interesting operations of the throttles. The A-10, for example, if you had an engine issue such as failure/fire, you stood the throttle up, once identified, to midway instead of initially going to idle, and then shut it down with the fire t-handle if needed for fire, or right over the detent to cutoff if normal shutdown. Because any loss of thrust condition, if the throttle was brought to idle, the fuel control automatically attempts an engine restart.
Didn’t Delta do this over SFO bay in the late 80’s/early 90’s, and they barely got one burning before it splashed?
UAL had the dual engine flameout in 1986 departing SFO on takeoff. Got them restarted and returned for landing.
Delta had the one a year later in 1987, LAX to CVG. Flameout of both engines on takeoff crossing the shoreline at about 2000 or so MSL. Got them restarted at about 600 feet above the ocean, resumed climb and continued on to CVG, I guess because captain knew he had been the cause of it.