I believe the list is up to date. LCY has its own unique approvals, separate to any other, which the press release doesn't quite bring out. Read it very carefully with this in mind and youll see how they never quite say they are approved at LCY.
LCY is not just about steep approach but departure performance as well, to clear Canary Wharf with an engine out, and when on easterlies to clear the proposed East London River Crossing bridge. The latter has not been built yet but will be about a mile downstream from the airport. on 28 finals/10 climbout.