"Would this apply to a recreational trawler"
The only sail on a traweler is usually a steadying sail, which is not a means of propulsion
. Regardless of that--your traweler is still a vessel primarily powered by an engine
, so it is a motor vessel. The engine on a sailboat is normally an "auxiliary engine" which the sails are the main engine (propulsion).
In some parts
of the US, like the Northeast, you will find virtually no one uses the day shapes, and the USCG and local water
cops are perfectly content to ignore them. For just about everything except fuel
barges and other "dangerous cargo" vessels, and even many of them.