I do agree with you that access to cheap/convenient healthy foods is certainly lacking. This is definitely a problem I think we can and should tackle. I think giving people more choices is a great thing and I would happily support this. The "default" also makes a lot of sense here. Really at the end of the day what I'm skeptical of is trying to force people's hands into cutting sugar out of their diet.
There's varying degrees of "force". For example, we could "force" people to get their children vaccination, but that panders to fears of conspiracy theories. Instead, you can take away access to public education (e.g., vaccination mandatory for schooling). Then it comes at a steep price, yet you still maintain the freedom of choice. I don't think of vaccination as an analogous example here, since nobody really sees sugar as dangerous. In small quantities, it isn't. The danger is the context of the overall diet. Decades of lots of sugar consumption undoubtedly leads to negative health outcomes.