I disagree here - it's not usually a good idea to step on peoples' toes. Not only is it not your job, but you shouldn't invade and take someone else's responsibility (especially if it has an artistic impact).
Speaking of stepping on people's toes, I'm having a field day with you!

(See the thread on headset etiquette)
The particular case I was thinking "Do it yourself" about, was according to memory some carpet etc. that had come away from the floor backstage. This particular SM's problem was that she identified the hazard, and then proceeded to write a report about it. Something like "Construction: please re-attach the backstage carpet downstage prompt side."
Of course, Construction didn't get the note until a week later, because of the lack of communication. Had this SM simply got out a staple gun or the gaffer tape and fixed the problem, THEN made a quick note in the report, it would have been safer, and the trip hazard would have been avoided.
On a sidetrack, I did once work as an ASM for an SM who created a Visual Basic / Access Database application on a laptop during the show. I think he'd set it up so that there were separate areas to write notes to each department, and he also had a timer control in there as well, so timekeeping was all done automatically (one-button click to time each different section of the show.)
At the end of the show, he'd hook up to the net and click the send button, and the notes that were relevant to the art department would get sent to the art head, and the notes that were relevant to the lighting or sound would get sent to lighting or sound. Not that email doesn't have its drawbacks of course.
He was also able to print out a nice and neat SM report after each show, ready to be filed away, but I just thought that the sending notices to the relevant heads was a really good idea - it really cut down on the information overload that some theatre admin-types thrive on.