The quote from Qwerty is certainly true. My thought however is, before we beat ourselves up, we need to realize that when talking "art" we are talking TIME... Perfecting a process to the point of "art" takes years. It can be roofing, building engines or using a back-hoe. To become an 'artist' seems to require an interest and a high level of dedication.
I have spent years repairing bicycles. I have trued and re-spoked many wheels. I think I became very good at truing but still not an artist.
I am of the opinion that the 'average Joe/Jill' can do a pretty 'ok' job of truing a spoke wheel if they fellow all of the basic guidelines presented in the many tutorials. Lacing a wheel is as well 'very doable' by common folk but will likely take a notable chunk out of your waking hours. Both tasks are best approach with a 'slow but steady' attitude.
Keep in mind, it is still the righty tighty, lefty loosey. What can throw you is the fact that most of the time you are looking at the nut (spoke nipple) from behind (tire side) instead of facing it (rim side).
Remember as well, if the spoke is attached to the left hub flange, tightening the nipple will pull the rim closer to that flange.
Loosening that same nipple will reduce the 'pull' to that side and allow the spokes from the other side (hub flange) to
assert more control/pull on the rim.
I agree, when one spoke breaks, likely many of the others are pretty
fatigued. If you plan to keep the bike, replacing them all is the best thing to do. Gerry