I fully understand the salt thing and I add rock salt to the ice when I'm making ice cream as it helps freeze the ice cream mix faster. But to just add salt to my ice in the ice chest? Nope, it's not going to help keep items cold in the chest longer in normal ice chest uses and I sure don't want my ice chest filled with salt water once all of the ice has melted. Which is why you don't see recommendations to add salt or rock salt to the ice in an ice chest used for keeping food/drinks for a multi-day need.Have you put ice cream salt/rock salt in your ice chest before?
My planned use of block ice will work fine for the 3 days we'll be on the trail and I'll still have most of that block left when I'm done. I kept one block of ice for several years with multiple uses per year. It got slightly smaller each use of course but it was still big enough to put back into the freezer when I got home. I'll give most of the credit for that to the Coleman eXtreme cooler which is the best cooler I've owned in 50 years of camping... since I've never owned a Yeti etc. I'll see if that cooler works even better after adding the additional insulation (the Great Stuff I'll be adding today) I mentioned above. Insulation is king to keeping ice longer, the Great Stuff can only make it work better as a cooler. I expect a significant improvement. Maybe nearly as good as a Yeti or Cabelas.