You'd have to ask roo_ster, because he draws different conclusions from his own story than you do.
I drew several conclusions.
1. 1950s-1960s: Do-able at even private school expenses.In the past (1950s-1960s) one could work like the devil over the summer at a union low-skilled job and cover all the more expensive private schooling costs and some living expenses. Union wages + beau coup overtime = a serious chuck of change for 1960. I speculate that if one were bright enough--and not taking a challenging course of study--it would be possible to work part-time during the rest of the school year while taking a full course load and cover all living expenses, too.
Any of the rigorous STEM majors would not likely be do-able with this approach. There is no comparison WRT difficulty, time commitment, etc. between rigorous STEM and any other course of study (history, business, soft sciences, etc.). Any bachelors whatsoever was a boon so that STEM vs non-STEM was no great disability. In 1960.
2. 1990s: Possibly do-able at state school expenses.This was no longer the case come 1990. At the encouragement of my father, I took a similar path, work-wise after high school. Similar work, similar hours, but greater risk of injury (to make more money) and greater downside risk given an injury (given no union and meager benefits). The union low-skilled jobs were not available. The fruits of that labor could no longer cover private college expenses. The fruits of similar work on 1990 could cover no more than half in-state state school expenses. Not to mention automobile and other spending monies. I think my dad was a little embarrassed. His dad gave him zero advice for post-HS learning or career and he resolved to do better by HIS kids. In my opinion he did damn well by batting 0.500 and pushing us toward STEM instead of his field of study. Even then, BigCorp hired business majors to answer telephones in sales & support banks. His efforts in the years since his college days left us well-enough situated in the middle class such that when his kids went to college, he could help us out. We all worked like crazy over the summers and saved almost all what we earned. He made sure that between that earned money, scholarships, and cash he kicked in that we got through school with very little debt. Need I mention that partying and drinking and getting poor grades were not even an option?
I am not sure that part-time work during the school year with a full course load would have covered the half of school expenses and other living expenses. I doubt it even for non-STEM degrees. To then get a bachelors that would mean reducing course load, increasing hours worked, and increasing the number of years it would take to get that non-STEM degree. This INCREASES the opportunity cost of the degree, as those extra years one is in school are years one is not devoting to one's work career id one had instead chosen a career that did not require a degree.
3. Today: Hahahahahahahahahahaha! My dad's approach is not in any way do-able or reasonable in 2016, full stop. Not even gaming it with community college first. The cost of a college education is just too great. And the ROI for most degrees has sunk so fast that many are not worth getting. That ROI includes opportunity cost for working while studying, as that indicates less than 100% commitment to that job/career. And the work during the school year option requires less than full course loads to avoid taking on debt.
4. To sum up:IOW, I am largely in agreement with the article in the OP. Working your way through school and getting your bachelors in four years with no external cash inputs and no debt is just not something you can say is a reasonable course of action in 2016. The work doesn't pay enough and the schooling costs too much. It is even less reasonable for rigorous STEM degree.
There may be some truly exceptional folk who could make it work, but the solution for the top 0.01% in ability is not generally applicable.
To put things in perspective, opportunity-wise, recall that Bill Gates claims that he could not replicate his Microsoft success in today's environment. True, he did what he did without a degree, but it points to a throttling of opportunity across the board.
5. Near Future:While a scholarship would be welcome and a blessing, my wife and I do not count on it for our children.
Also, we are not saving up for our children's college education. I did the math and any such savings are generally lost due to reduced financial aid packages. Instead, we spend that money on the best schooling we can afford RIGHT NOW. Who knows what the future will bring? I smell great disruption, the sort that might make savings worth bupkis overnight, coming our wayt. So, I invest in my kids RIGHT NOW, when I have the money to do so. In addition to academics, I pay the cost to ensure their peers are not the bad sort and that the religion, morals, and ethics taught at home are also taught at school.
There are too many variables to lay concrete plans for our kids' post-HS education. But we have a general idea to pay their way through some sort of training/trade/cert program through which they can support themselves in the short-mid term. And then help them while they work while earning a remunerative bachelors (room & board, school expenses they can't cover), hopefully something in line with their previous training/trade/cert. The particular form that takes depends on talent, desire, opportunity, and circumstances.