This is just fun with statistics. I don’t think your Linux distro has a big impact on your overall happiness in life, but of course you can order the results by any parameter you like.
Often, it’s a third factor that influences both, in this case probably age, which influences happiness and distro choice.
Or maybe having the time and inclination to install Arch correlates with being in a bad place in your life right now.
I know I was tinkering with Linux all day when I was procrastinating and locked away in my room for days.