Earlier quoted context omitted.
You can avoid having poor people pay more by creating recycle points, you pay more on a soda can or bottle but you get the extra money back when you return the empty can/bottle. (I know some will say is not comfortable to do this so we need more education to have people understand why this is important)
In fact in Norway, bottle returns are accepted in pretty much every store or gas station (pretty much anywhere that sells bottled drinks), and have been an income source for kids or poor people for decades. It's contributed to a collection rate in the 95%+ range, so it doesn't just mitigate the increased costs, it provides income.
I know that someone could invent now some extremely rare scenario but I am talking about a big majority.