I'd love to know which journals you're reading, Coppit, because it would seem that their journalists (and, more importantly, their sub-editors) aren't following their own style guides.
The Guardian & Observer's style guide uses 'East End':
http://www.theguardian.com/guardian-observer-style-guide-e
The Telegraph states "east: capitalise in references to regions or international politics. Lower case for points of the compass" which, as I read it, means that capital letters should be used.
http://www.telegraph.co.uk/topics/about-us/style-book/1435311/Telegraph-style-book-Ee.html
Similarly, the BBC's style guide seems to imply that capital letters should be used:
"For place names: use upper case for recognised regions, and for vaguer political/geographical areas":
http://www.bbc.co.uk/academy/journalism/news-style-guide/article/art20130702112133530
The Economist agrees:
"Use upper case for definite geographical places, regions, areas and countries (The Hague, Transylvania, Germany), and for vague but recognised political or geographical areas"
and
"Lower case for east, west, north, south except when part of a name (North Korea, South Africa, West End)"
http://www.economist.com/style-guide/capitals
While I might have seen 'home office' used in phrases such as "the ideal printer for home office solutions", I've
never encountered the use of lower case letters in reference to the Home Office based in Marsham Street, SW1.
So just WHAT are you reading these days, Coppit?
;-)