For a family of 4 in San Francisco (which has lower cost of living than Berkeley) the poverty line was $117K in 2019.
You can't just change words like that. It's dishonest. Poverty != "low income".
Lower down it discusses the nationally averaged poverty line. At no point does it make any claims to a number for a SF specific localized poverty line. As you say, local values are going to be different, but the national number is far below the "low income" threshold set earlier in the article.
You know something has gone haywire when "low income" and "median" incomes are basically the same amount.