The problems with bag drop at LHR are early morning ones in T2. The baggage belts are not operational until 04.00 and the queues for the first round of departures at 06.00 do tend to be outside the terminal particularly for TP and SK. LH, LX TK and OS at the other end of T2 do a little better in that they start tagging the bags particularly for gold and business class so that once the belts start running they are ready to go. Security in T2 does not open until 04.30 so there is always a long queue for that too and the Gold Track doesn't open until 05.00 so unless you are on the very first round i.e. 06.00-07.00 it pays to be a little bit later to the terminal. Later in the day I haven't had too much of a problem, longest wait in the gold track was one morning a couple of weeks ago at 20 minutes.