Irrespective of what the guidance says, why not think about what is likely to happen under fire conditions. This is what the guidance is based on. If the fire has no ventilation (for example, if the window hasn't broken) then it will be sucking in all the air it can from everywhere it can (i.e. under the door) but the neutral plane will be descending in the room as fire pressures build up. The smoke layer will also be descending. If the fire does not ventilate itself (for example, by breaking the window) then combustion will decrease rapidly as oxygen runs out (you can only get so much under a door - even with a 15mm or so gap). The neutral plane will be right down and some small amounts of smoke will come out the bottom of the door. Not a great problem.
What about if the fire is ventilated (open window) or ventilates itself (breaks a window)? Then we have a different situation altogether. Flashover is likely. The gap under the door is much more vulnerable if the room is flashing over. The fire's not concerned in trying to draw miniscule amounts of air under the door, it has plenty of air from the window. It will pump out hot gases under the door as the whole space will be subject to slightly higher pressures than ambient. Not good.
Most rooms have potential ventilation (windows) so the best advice is to keep that gap as small as possible.
Stu