According to the LMA London Generations catalogue, only the BT's from 1800 onwards are at the LMA, nothing earlier, so they don't come under the 'work in process' banner.
There will always be some confusion as to where the records have been deposited for London & Middlesex.
LMA holds records of over 700 Anglican churches in the London and Middlesex areas. The types of records held vary from parish to parish with some parishes only depositing registers of baptisms, marriage and burials. Other parishes however, have deposited a great deal more and the types of records include vestry minutes, churchwarden accounts, parish poor rate and early workhouse material, parish magazines, plans, photographs and other ephemera.
For those interested in parish records, researchers should be aware that for certain areas of London, the LMA will not be the likely place records would be deposited. For those interested in the parish registers of the ancient City of London within the walls, these will be found at the Guildhall Library. Similarly churches within the ancient city of Westminster will deposit their records at the City of Westminster Archives. This will include parishes such as Saint Martin in the Fields, Saint James Piccadilly, Saint Clement Danes and Saint George Hanover Square. The final areas that would not deposit their records at the LMA are the modern London Boroughs that prior to the formation of the Greater London Council in 1964 would have been part of the former counties of Essex, Kent and Surrey. For each of these areas researchers should consult either their local borough archive or the respective ancient county record office.
So the paris registers for Westminster go to the City of Westminster Archives, but the BT's belong to the Diocese of London and go to the LMA.
Also see here
http://www.rootschat.com/forum/index.php/topic,430983.0.htmlDawn