Nobody anywhere around here calls the drop in any way at all, we just sort of assert ourselves and next in line, and then go. Seems like a bit of an unspoken rule. To my surprise I got out to CO last year and some people actually do call the drop. Personally I like it because theres non of this scooting down the inrun bs. I ended up just adopting a simple raised hand to do the job, sometimes people even talked about like "hey whos goin next" but it was never this formal DROPPING! crap. That could get annoying.
And to the thread maker- in the absence of a kiddie park, they have to be somewhere. If they aren't really damaging the features in any way then leave em be. It gets more people exposed to the sport. If they get in the way just ask them to move. Usually a much larger person on twintips with mad steeze has a profound influence on a little kid in the terrain park. If you lipslide the down rail they were just in the way of and then ski down to them and explain it, chances are they will listen.