It is true that the NEC does allow grounding type receptacle to replace non grounding types with no ground present if you have GFCI protection The receptacle needs to be labeled. Since most small appliances, lamps etc are mot grounded in the first place, danger is limited.
Bear in mind surge protection and those grounded appliances are missing that protection with an ungrounded receptacle.
In places where floods and storms are an issue, those old houses are being torn down tho by government and insurance company decree. The insurance can easily top $10,000 a year for a preFIRM (Prior to government flood map) house in a coastal or other flood prone area.
FEMA (the Federal Emergency Management Administration) is going through these areas with a very sharp pencil over the past few years and enforcing this. About 25% of the older homes around me are abandoned or already torn down. You are not allowed to spend more than 50% of the appraised value of the habitable parts of the building alone on improvements or repairs. That limitation leaves a lot of homeowners with little choice.
