By coincidence I was looking at some past work I did at the Fire Research Station in the 1980s in response to another question in this forum. It was for the Home Office regarding the siting of detectors in corridors of hotels and other sleeping accomodation. We were asked to see if smoke detectors in the corridor could be relied on to give an alarm from a room accessed from the corridor, and the effect of different sorts of door on the speed with which the alarm was given.
We used ordinary domestic doors, FR doors without intumescent seals and FR doors with seals.
In summary:
Domestic doors always allowed enough smoke out to trigger a detector well before the corridor became impassable to people due to smoke or flame penetration.
FR Doors without seals - those with a poor fit gave a longer time to alarm from the start of the fire than a domestic door of any fit did. Well fitting FR doors could allow a 'plug' of smoke to build up in the corridor which rendered the corridor impassable often well before the alarm was raised by a corridor detector.
FR Doors with seals - poor fitting ones would allow smoke plugs to form, well-fitted ones often resulted in only cool, low-level smoke, undetectable and not hindering passage.
The conclusion was that if FR doors were to be fitted, a heat detector should be put in each room accessed from the corridor. It would not necessarily save the life of the room's occupant, but it would raise the alarm well before the corridor was rendered impassable. It would also be less susceptible to false alarms from any activity of the occupant.
So I would suggest that if you cannot control what is put away in the cupboard, fit it with an FR door and put a heat detector in it.