This gets cited here weekly, usually second-hand, so it is worth setting out what it does and does not establish.
This is the one where the stakes are high and the answer is simple: tell the anaesthetist. Delayed gastric emptying means a stomach that is not empty after a standard fast, and that is an aspiration risk under anaesthesia. Current guidance is broadly to hold weekly agents for about a week before an elective procedure and daily agents for a day, but the decision belongs to the anaesthetic team and they can only make it if they know.
Where I think it is weakest: the population was selected and supported in ways a real cohort is not, so I would read the effect size as a ceiling rather than an expectation.
The narrow version of the question is how long before a procedure people were told to hold, and whether the interval differs between the weekly and daily agents. Tell me what I have not thought of.
Note on sourcing:
Figures above are from the primary publication rather than the press summary. If a number here disagrees with one you have, post yours and we will work out which of us is reading a secondary source.