I really love this story.
Refer to my sig quote. The Dunning–Kruger effect may have been debunked as an absolute, but the correlation it describes is still very true. If people don't know how to do something right, they likely also won't know when they're doing that something wrong without some sort of feedback; either failure at what they were doing or someone telling them there's an easier way to do it. This applies to a whole host of activities, including playing a class on an MMORPG.
The story you shared portrays this cognitive bias perfectly. The only reason the WAR didn't improve on their own was because they weren't aware there was improvement to be had. And the moment it was explained to them that there was an easier way to handle multiple mobs at once as a tank, they immediately picked it up while probably experiencing a sense of "Eureka!"
As for how to approach people as a source of help, I agree with this thread's general sentiment of being polite. And there are some general tricks in wording that can help avoid triggering people:
1) Use soft language. "If you use X, it can make Y easier to tank" is soft language, as opposed to hard, commanding language like "Use X because it makes it easier to tank." Soft language adds a sense of choice to your statement, so it doesn't feel like you're commanding the other player to do something or trying to force them - most of the time, being commanded isn't taken well. So statements like "You can", "You should consider", and "If you use" are soft language, and can help avoid triggering a defensive "I don't have to do what you say" reaction.
2) Avoid "you" statements. Statements that start by pointedly calling out the other player by starting with the word "You" is often subconsciously seen as confrontational, and may make the person defensive. Setting them on the defensive isn't going to help you teach them. Just avoid starting your statements with "You", "the tank", "the healer", "that dragoon", or anything else that singles out another player as much as possible. Example: instead of "You look like you need some help", you could say "I'm willing to help you, if you're interested." Notice the combination of avoiding the you and using soft language.
I was gonna post more, but I'm running out of time. These should get the idea across. In general, you want to avoid making the person you're trying to help feel defensive or pressured. Most people will open up to your help in the form of suggestions, then.