Erm, drones typically navigate by GPS signals, without direct control necessarily. They won't continue "straight", they'll follow their flightpath. If under remote control, typical programming has them maintain location for a period of time to regain lost signal, then return to launch site via retracing the previous flight path (presumed clear of obstructions) if signal is not restored within that period of time.
IE, jamming control signals might induce more intrusive behavior than physical disabling, such that they plummet. Jamming GPS signals has other more intrusive complications nowadays.