Best prepare for it before hand, rather than scramble to find a solution afterward!
I think you are right, but that's just me. Some people will learn this the hard way

Unfortunately we're on the same page.
The claim sounds rather dubious.
It seems to assume cell phone towers would still be in operation during a major power outage so you can still use your phone apps
and perform financial transactions. If the cell towers in the effected area have backup generator power they can
keep cell phone service going.
In that case many things will still function through your smartphone, including bitcoin transactions, so CBDCs don't have any
special advantage. Many companies and businesses, especially larger ones, have backup generator power so they can still be
in operation during a power outage at least temporarily. It's a dumb argument for CBDCs.
Yes, backup power generators can keep power going though it's both not particularly reasonable to assume and does not apply to all towers
according to this article. As for companies having backup generators, yes larger ones maybe so, though most businesses I dare say would be relying on infrastructure they are renting/relying on their building. I wouldn't be surprised if backup coverage was in the sub 10-20% across the board.