I'll be brief, so as not to exceed the allotted time. Health is first and foremost a provincial jurisdiction, but there are exceptions, and certain aspects are clearly defined areas of federal jurisdiction.
However, there is the question of funding. When you have spending authority, it's as if the intent of the Fathers of Confederation no longer applied, because spending is not legislating. You are right to point out that through spending authority, the federal government plays a major role in health, whereas its legislative authority in health is somewhat, or even very, limited.
After this crisis is over, health will go into a new phase, in which it will have to deal with new types of problems, specifically for those who had their care postponed. In order to deal with these delays, additional costs will have to be paid and there will be many hours of overtime. These extra costs will create enormous financial pressure on the provinces in the short, medium and long term. The exercise of federal spending authority on health in a way that is not sufficiently stable, predictable and substantial, will definitely cause enormous problems.
It is therefore absolutely essential that this funding be stable, consistent and substantial; otherwise fiscal space will have to be created to allow the provinces to finance these areas on their own, because at the end of the line, the ability of citizens to pay taxes is limited. That will be the major issue in the years ahead.
Now that we are more knowledgeable about the virus, we need to take care of the other patients, and that will be very expensive.