I have never known an LD to even LOOK at a w/w/w, or ask for one. Or know it exists.
The w/w/w is a useful document for coproductions and remounts, and is often formatted and updated by the AD if you have one. So some ADs will be thinking about blocking and intentions, and what you're paying attention to from the front of the room is different than what you see from the side or backstage. Wardrobe and Wigs often ask for a copy (depending on how each department runs at a particular company) so they know when to follow the principals around, or where to powder a nose between entrances. Stage Management can use it as a cheat sheet (when does that person go on next? does he/she really have time to go to the bathroom?)
But it is not used by the technical departments...Props, Deck, A/V, Rail...they all have their usual run sheets. You often include generalized versions of these notes in the who/what/where, but the detailed minis and presets are only in the department paperwork.
Again, all timings are approximate...they usually still just ask "how long till my next cue?" And I flip a few pages and say "2 minutes" or "more than 10 minutes". Very few people actually read the w/w/w, but it's great for archival purposes.