Personally the phrase "Committee of Public Safety" is linked to the Reign of Terror so it shocked me to read that the generals would use that name as part of their efforts to bring de Gaulle back to power.
Was the name intended just to reference the French Revolution while ignoring the Reign of Terror? Was it a threat to start a new Reign of Terror? Was it just a bureaucratic choice with no special meaning behind it?
I tried to find who suggested the name, but to no avail. Delbecque? Lagaillarde? It does seem a deliberate attempt to recall the days of 1793, oddly to us as the earlier movement is associated with a nascent left, the latter with a colonialist right: not even the Resistance or the provisional government of 1944 had used the term. But those involved often recalled (perhaps rosily) a revolutionary buzz of fraternity between settlers, military and non-FLN Muslims: even if the last element was largely imaginary, it's indicative of their thinking. And some considered themselves to be upholding the authority of the Republic - though not necessarily the Fourth (and one wonders what would have come of Republican institutions in the wake of a military attempt in France proper).
I don't see it as a reference to the Terror, rather an invocation of the need for extraordinary institutions in time of emergency. It may be that it handily reconciled the aspirations of Gaullist Republicans and the ultras whose attachment to Republican principles seems less clear.