One problem i have with the word "potential" is that it's a word that means someone or something could be better in the future, and especially in the case of adults and younger people, adults will use it to say that younger people aren't good enough at the moment, and the kids need to work harder at becoming the ideals that adults set out for them.
But the age related baggage set aside: yes, of course! I see anarchy as having a much greater potential than the state in making people more able to live in the present moment, to leave aside ideas such as "potential", and learning themselves in the moment without so much consideration for "careers" and jobs.
Historically, it's impossible to know what direction things are going in, a lot of things have gotten worse. As humans we have destroyed large amounts of the natural world, and the humans who have done this don't even properly comprehend the amount of damage this does to them personally.
People have dealt with their lives anarchistically in the past and continue to do so in the present. I think the most important thing anarchists can do is to use anarchist ideas to improve their own lives without getting so hung up on morality and what other people think of them. If you don't think someone else tells something that is true (including me), then just observe how what they say makes you feel, and don't compromise so easily with opinions and social pressures.