Went to our local independent grocery Saturday. Fresh meat was selection was full, all of their pork, chicken, and beef comes from processors within a 2 hour drive. Many in our area also has freezers packed away with 1/2 a beef and a hog or two. Canned products where getting light.
I dont think the supply chain is drying up, I think you have a bunch of people sitting at home board out of their minds going to the grocery. You also see how many people ate out instead of cooking.
When you go to the grocery and see the milk is all got but when you go home you see a story that dairy farmers are dumping milk. We don't have a supply problem, we have a packaging and distribution problem. We have the same amount of mouths eat now as we did 6 weeks ago, the mouths are just eating differently and in different places. This affects the dairy and meat processors the most, mainly in packing. Certain facilities produce certain products, a facility that was set up to produce school sized milk cartons is set up to make these cartons as efficiently as possible, they would have to re-tool and change the process to make gallons packages, this takes time and I guarantee is being done (school is over for the year any ways).
We have the most efficient packaging and distribution system in the world. Remember how quickly this all happened, no system in the world would have been able to react to (literally) society upending the way it eats with 48 hrs notice. I really think you will start seeing changes this week.