"Warning stepped climb..."
Agaricus bisporus asks:
"...Also, why does LTN always say "warning stepped climb...?"
For (hopefully!) obvious reasons, level busts are highly undesirable. This is particularly true in the busy and complex environment of the London TMA. In an effort to reduce the rising trend for level busts, it was decided a while ago to trial this warning when the clearance was passed by Ground. It was so successful that the trial has become permanent. I reckon this makes it bearable.
As for reporting type on first contact, it's not unknown for something entirely different from that advertised on the strip/EFPS to emerge from the murk. Reporting the type merely ensures that correct vortex wake separation is applied, and other aspects of a/c performance correctly anticipated.
Hope that helps.