Well, the thread is drifting away from solar power and into prepping ( my fault I guess ), but here ya go:
I am not sure how useful an "island of electricity" such as an off-grid system would be in an extended EMP event. For a couple weeks you could preserve what refrigerated and frozen items you have on hand, but the where would you get replacements? Trucks with computer controls would be knocked out, they won't be delivering, store's refrigeration units will be out, etc.
Our refrigeration is mainly for preserving what we grow here on the place....beef, pork, chicken, fish, in addition to things that preserve better frozen than canned, like strawberries. We're not all that dependent on what trucks deliver to the store. We do a lot of canning and root cellaring, and could do without any freezer, but some refrigeration is nice to have.
For that matter, without really good shielding, how will your off-grid system survive the EMP? Lots of component parts would be fried in those too.
I assume it would take out the electronic components, but hopefully not the panels. That's why I store a complete extra set of inverters, HUB (the brain that connects them together), and charge controllers in a shielded Faraday container. No plan is perfect, but I've tried to think ahead.
A hand well pump, a stack of canned/preserved goods, and wood fire for cooking and heating are hard to beat.
Yes....absolutely correct.
Which is why before the first solar panel ever went up, we have gravity fed spring water system, the "stack" (and it's WIDE and DEEP

), an auxiliary kitchen I built on the back of the garage with walk-in cooler ( we process our own meat here on the farm ) ( and another reason electric power is handy from time to time....let's one chill the meat when nature isn't co-operating ) that has the wood cook stove, and we've heated the house with wood for 30 years.
Pic of part of the AuxKitchen.....wood stove, pantry, walk-in cooler door.
(6'x6' walk-in, by the way, is powered by a 12,000 BTU Samsung window AC with a "Coolbot" controller...will take the room down to 33 degrees )