When I have had to warn a Driver of a possible Signal Failure, particularly in one instance where the signal was a Tonnage Signal, I have given the Driver the option of passing it at STOP or stopping and ringing up the Signal Box ahead.
I always told the Driver what time the last Train left and if possible that it had arrived 'Complete' at the next Signal Box.
There was also a Tunnel in the section which added to the instructions regarding passing of Signals at Stop.
I had one occasion where the Fireman was sent to walk through the Tunnel to inspect the line but he took so long, the Driver went looking for him but somehow they passed one another !!!
It was late at night but to walk past one another ???
I have seen a Driver 'Trip' past a defective signal on a single decker Interurban.
He moved the Train forward at barely a walking pace until the lever hit the Trip and released the Air.
He then did what he had to do in the cab before resetting the Trip lever and proceeding on once the Air was back.