I would agree with that. In fact I used that word “reconstruction” deliberately because it was a Second Word War post-war use of that word. During that time, it was referred to as “reconstruction”.
With respect to the first aspect of your question, if you read the eligibility criteria for the CERB, it says that the benefit is available for individuals who stopped work as a result of reasons related to COVID-19. To me that would be almost 100% of the population. I think we should allow people to apply, provide the benefits that they need so they can pay their rent and feed their families, and then maybe after the fact do some reconciliation through the income tax system, or whatever mechanism it might take, but not to worry about quibbling over eligibility criteria right now.