Let's not confuse a cooler with a freezer. If you want one to be a freezer, then that requires dry ice.
2-3 days is typical of cubed ice, block ice lasts longer.
If I'm boondocking I'm in a forest parked in the shade, with no sunshine nearby. I simply refuse to park in the sun to have power. That is not a worthwhile trade off for me. In the winter yes, in the summer, NO WAY.
I ran powered fridges for many years, and I have plenty of power to run one if I choose to do so. I just got tired of replacing expensive powered fridges.
For many many years, with or without a powered fridge, my routine has been to go shopping once a week, refill my water and any other needed supplies. So adding ice to my list wasn't even an inconvenience.