FlightDetent
You are quite correct that there is no published profile for the LAM STARs, HOWEVER there are expected levels shown on the plate (Aerad EGLL SID/STAR booklet page H5). To me this is the "published descent planning profile".
To my mind there are a number of possible answers:
1. Last cleared level (in our case FL360)
2. FL150 (planning profile level at SABER)
3. FL70/80/90 (depending upon QNH and runway in use and reliant upon pilot knowledge of ATC procedures)
4. Alt 7000'. Shown on the STAR as the minimum holding level and on the approach plate as the start level for the procedure
I am sure there are more, but I think these are all reasonable.
Any thoughts anyone?
G W-H