It helps if your life problems are true first world problems (viz. tech guy with million or more in savings but thinks the cushy job isn’t rewarding enough and wants more purpose or something). It doesn’t matter you’re sitting in Kyoto eating sushi if you’re depressed to begin with. Only therapy and treatment could help. Maybe.
Just a side note - you absolutely don't need to be millions rich to travel for extended periods. You just need to have few financial obligations that are location dependent.
In an extreme example (which some of us fantasize about), you could have all your necessary possession in two bags, have no "home" (and no car and no other anchors), and travel the world for less than many people spend living in one place. This is especially true if you take a US/EU salary and spend time in much lower cost of living places.
The comic seems to be saying that travel and living overseas doesn’t even help with simple problems like being bored in your routine beyond the very short term, which doesn’t really match my personal experience at least.