No. Wrong. Interest is THE determining factor after step zero - which is simply having money to pay. If you don't have money to pay - then interest isn't even a question, nothing is a question, because you're never going to get out of debt or poverty. The answer to everything in life in regards to issues such as this is education. Not dumbing things down a 'la "snowball method". It's not teaching people what they are doing wrong.
Hell, the entire reason they are in debt has to do with their inability to financially track things to begin with - and if you are telling them to do the snowball method you're essentially just saying they are too stupid to master simplistic math. That's a problem. And trying to teach them wrong is only spreading the problem.
Your prospective idea of things like "having extra cashflow" is just pure laughable - Understand, we aren't talking about poor lower class that can't even get approved for credit, we are talking middle class. The middle class that piles on thousands upon thousands of dollars in debt in order to keep up with the Jones. At no point in paying off the smallest debt and having an extra $35 in cashflow (typical minimum payment) will ever help. The basis for which - anyone with half a brain would say "pay $35 less to the highest interest" if you really needed it for that given month. If you're paying off everything with minimum amounts, how do you ever expect to get out of poverty? Be it snowball, or highest interest?
And honestly, It's really rather annoying that you guys are honestly suggesting "There is no best method". The fact that someone is cognitively inferior of simple behavioral changes does not divert what the best method is for paying debt. If someone asks you, "What is the best way to get to New York from Florida?" does it sound like a reasonable answer would be "Well, I think the best way is to take Interstate 10 to San Antonio, then go North to Oklahoma city, and then NE to New York - because I just don't like the Interstate 95 method"? No. Of fucking course it doesn't. You see how stupid that sounded? That's how you sound when you say "Not always the best method".
Ahhh, yes - it's so easy to tell my emotions on the interwebz No, to be honest, I just prefer to see the world more educated instead of accepting them as too mentally inferior. I know, I know, I'm living in a fantasy world. But one can dream.