I think this rules out awarding a draw in King and Rook versus King.normal means:
G.3. Playing in a positive manner to try to win; or, having a position such that there is a realistic chance of winning the game other than just flag-fall.
It requires the arbiter to have some chess knowledge as in "realistic chance" but crudely counting pieces will work in a lot of positions. Equally "playing in a positive manner" requires some judgement, but hopefully the equal weighting accorded to position means that retreating a piece isn't good cause for the award of a draw.
(edit) As an addition to this, you have to state that the Appendix actually applies. Many organisations already do this, dating back from when it was only the BCF who had relevant rules.
(/edit)Appendix G
Quickplay Finishes
G.1
A ‘quickplay finish’ is the phase of a game when all the remaining moves must be completed in a finite time.
G.2
Before the start of an event it shall be announced whether this Appendix shall apply or not.