As someone who has been doing high power rockets for years, and leaving aside the eye-twitching induced by calling anything involved a 'detonator', a launch system should be designed with a lockout system such that an electrical failure in the launch control system cannot fire anything when not armed, and the system should never be armed unless it is safe to launch. There should be some indication - ideally audible - that the system IS armed, and continuity checking is a very common and useful but not essential feature. What IS essential is that any continuity check be properly designed for all possible ignition systems - especially ematches, or less common these days but still around - flashbulbs. These fire at very low currents and controllers like the ones Estes sells can set them off with the continuity check.
The safest solution is to buy a prebuilt launch control system, or at least use a proven design. Asking a bunch of people who have never seen a model rocket how they think it should work might provide some useful info, and a whole lot of useless info.