That depends... you (generic) are only using the PON (ONT) for an internet connection not for a telecom company provided POTS, that is still on copper, presumably line powered and will work under local power fail conditions.
If the POTS service moved to the ONT POTS port, what happens then? Without some form of power backup you lose POTS service. That's not a serious problem for the geeks with UPS's but as you say geeks are in the minority. A great majority of the rest will probably have a mobile and be in blanket coverage areas so the mobile might still work. But that still leaves the significant number of people who don't have a mobile without without telephone service just when they might really need it.
A few hours from an ONT BBU would probably cover the vast majority of powercuts. Provided the batteries are in good condition, which might be a challenge for the non-geeks, techno phobes and, sadly, a lot of the population.