My question is: has an offence actually been committed?
As I understand it, 'burglary' is 'illegally entering a premises for the purposes of theft'.
Firstly, as far as I can see, the premises was not entered illegally, as it is a hotel lobby which anyone is at liberty to walk into. I frequently have business meetings, for example, in hotel lounges where I am not staying, just as a convenient rendezvous.
Secondly, technically no theft took place, as the coffee and flapjacks were being offered on a complimentary basis.
He left as soon as he was asked to leave, and was met by police.
He did not enter any area of the hotel other than the large lobby/lounge area.