The GEGMU arrivals from the south are a bit of a sight-seeing tour and I understand the purposes of point merge arrivals, but what are the key levels to get beneath in order to be given the nudges to the left (shortcuts)
The level you arrive in to the Thames sector from the south (FL80) is sufficient for giving you a short cut. The problem we have is getting you though all the London City and Biggin Hill inbounds.
I personally will always try to give you a RHD circuit when 05 is in use however as already stated it is dependent on what other aircraft are around. The issue with getting you direct to GEGMU is that there is a whopping great danger area (Shoeburyness) in the way.
This
link gives you an idea of the airspace and routes.
The video via this
link may also help.