What should my non-Thai wife do regarding her visa situation if I pass away while holding a non-resident O visa?

I have a theoretical question for the experts here. My (non-Thai) wife and I are here on non-resident O visas. The visa is in my name, and my wife is here as spouse.

I have recently heard that in the event of my untimely demise, my wife would have 5 days to either leave the country or else apply for a new visa in her name, with the requisite paperwork.

Is this true? If so, we will have to re-think our status at renewal time.