I could never get in due to the fact that most of the rooms were taken up by people at MOD using it as cheap London accommodation during the week.
Fewer people at the Monastery these days, so fortunately fewer use the Club in the manner you describe. But this could well pose a problem if too many MoD civil servants are allowed to join.
To add insult to injury, the dress regulations were archaic,and when I married a WRAF Air Traffic controller, she wasn't allowed into one of the bars.
Fortunately, that archaic 'old duffers only' bar is no longer.
I mean, come on, who wears a jacket and tie for breakfast?
That is no longer a requirement - casual dress is fine. And breakfast is truly superb.