OAP,
not maybe the most helpful (or seemingly friendly) response from 055166K - but the answer is valid, they were just trying to get you to think the answer through for yoursdelf to aid understading (I think).
As said above, the short answer is yes. The reason you may have had the fact the SID included a stepped climb is quite possibly due to the fact that working in the LTMA, we quite often see aircraft climb above the correct altitude, through either mis-interpretation of the plates, or plain error.
Another thing we often see with the advent of Mode S is that some aircraft display the final SID level in the Selected Flight Level function on the aircraft data block - even though the aircraft will be stopping off at the step levels. Some systems still just show what the 'hard' stop is i.e. the final level on the SID - as you can imagine, this causes a bit of consternation and results in a query from the ATCO!