Regarding economics; there is plenty of olivine rock already available as a mining by-product. Disadvantages are that it takes up to 1000 years to fully sequester however this is logarithmic with a large portion of this achievable in the first century (why they mention 75 years in this article). This can be accelerated with further grinding to increase surface area.
I would imagine that regulations for net-zero will push for carbon removals to be sold similar to carbon credits have been (as net-zero can only be achieved with removals, not credits). These could either be sold as they are created annually or pre-purchased as the mineralization is a pretty sure thing to happen.
Whether this (as in CO₂ removal, not limited to enhanced rock weathering) evolves into a public service equivalent to garbage collection or a utility like water is yet to be seen.