What are these things a distraction from, in your opinion? I would have thought introspection the opposite of distraction.
1) that the website is directed towards people who struggle with general feelings of discontent
2) that the purpose of the exercises is to help people feel better
So it would be a distraction from the feelings of discontent. You feel discontent, but you assign them color, body part, etc., in other words, you externalize them, which I suppose distracts you from the thing you're feeling.
In what way is it supposed to encourage introspection?
You actually pay attention to how you’re feeling. Hopefully you do it on a regular basis so that you get better at it, it comes more easily, you do it faster and with less effort and sometimes you slip into it unconsciously as a matter of habit. Some people are easily and unconsciously in contact with their emotions, as others are with their bodies. Others aren’t. I am much more aware of my posture and breathing for years of running, yoga and weightlifting. Even though I do far less of all of those than I did before I had children I know my body much better now than I did at 20. Some people need equivalent things for emotions.
I see, so it's similar to the mindfulness concept taught in Gestalt therapy? I guess that's why I don't like it - paying attention to how I'm feeling doesn't really change the way I'm feeling, which frustrates me, because I'm expecting it to affect my feelings, when in reality... it just makes me more conscious, and things stay as bad as they were before.
Assuming it's not supposed to change how you feel (directly) - what is the purpose of being conscious of how you feel?
It does directly help some people and even more people realise how they are feeling and do something about it once previously subconscious knowledge is conscious.
That awareness can often lead me to a solution because I wasn't even aware of the problem until I sought awareness. I'll be kicking around the house pissed off, not even aware of it, and then do a dumb mindfullness activity, and thus the annoyance is brought full into my conscious attention, "oh right I'm pissed off right now. Why? Shit, I forgot to eat breakfast, I'm hungry." or "I didn't walk today, that probably isn't helping," or, "I'm stressed about the three tickets I gotta get done, lemme just write them out as a TODO to at least externalize the stress." And then I can feel a bit better.
Or, not, I'll be like "I'm too pissed off to even think about why I'm pissed off." At least I'm not a slave to my emotions then, which is an important value to me: control. Even if I'm going to be angry or sad or whatever regardless, I like the additional awareness.
That second perspective also adds a layer of relief between you and the emotions. You're now looking at them rather than being at their mercy. You can act now. You're back in a role of agency. Even if the options available to you are limited, it's very rare that you actually do not have any, but the element of your brain that's overwhelmed by the emotions can't see that.
Even if the only option you recognize from the second perspective is, "I cannot currently think of anything I can do to improve the situation, so I choose to continue with my current course of action, waiting and looking for a change I can make as things change (and things are always changing)," you're now in a situation where you've exercised some level of agency. You're not powerless. You're waiting and thinking and observing for now. And that sits differently.
Because it can manifest in how you communicate and treat others. Recognizing your emotional state doesn't necessarily change it, but it can change how you react to your feeling. Recognition precedes reaction -- or rather, reaction with conscious intent.