I've rarely seen orders to remove drops from houses, most the time its cut by a contractor (electrical, roofing, etc), LEC, or competing company.

Proactive cleanup is done by most company however You have to keep in mind the massive amount of techs it would take to double check every pole.

However making a complaint to a CLEC should be enough to get the drop removed if it posses any risk. I have been on a few of those after the recent ice storm here.