Sorry, but that is quite wrong.Therefore, the distant most certainly does not have to be set to danger before any associated stop signal can be set to danger.
The physical nature of the mechanical (or electrical) locking between the lever working the distant signal and the lever(s) working the stop signal(s) in advance will be such that it is impossible to replace any of the stop signal levers UNTIL the distant lever has been replaced.
In later years, as the number of signals at some locations were reduced, it was not uncommon for a distant signal to become a colour-light worked as a 'repeater' from the same lever as the Home (in the same manner as Intermediate Block Signals). The aspect displayed by that C/L would be dependant upon the state of any stop signal in advanc eof the Home.