Shall & Should & the “Mandative Subjunctive”
In this context, "should" is just the past simple of "shall".
Mistresses expect that their maids shall wear caps.
vs
Years ago, mistresses expected that their maids should wear caps.
There may be no rule (and others may disagree) but I am of the opinion that "to intend" is not strong enough to allow "be".
“And it is intended that this shall be extended to every division and important branch.”
vs
“And it is demanded that this be extended to every division and important branch.”