It absolutely will and the gas infrastructure is far more reliable than the electricity one.
My gas fired boiler can heat my house for days running off my Yeti battery pack.
That same Yeti couldn't put a dent in the cold weather we had this year.
Running my generator (on LP or NG or Gasoline) would allow me to keep my boiler running effectively indefinitely. Heating my home directly would be way more dangerous.
While you're correct that it's possible that NG supply can be disrupted, it's far less vulnerable to disruption than electricity. The natural gas supply is entirely underground and the natural gas infrastructure you're talking about that requires compression to pump to consumers has a built-in supply of fuel for running generators to generate electricity to run those compressors in an emergency.
There were innumerable electricity disruptions where I live in the almost 40 years I've lived here. Mostly short ones (under one hour) but several much longer ones (12+ hours). Without NG heat in my home I would have been forced to evacuate on a number of occasions. I've had one, single, disruption to my NG supply in 40 years. PSE&G found a leak in the gas lines in our street, this didn't cause a supply disruption however but put us (and a lot of our town somehow) on an expedited list to have all of our NG lines replaced. PSE&G came around and trenched in new high-pressure gas lines along the streets (still not disrupting our supply) and then a few weeks later they individually came and swapped each home to utilize the new high-pressure gas by fishing a smaller HP PEX pipe down the old gas pipe from our old service. No new trench from street-house, just a pit in the street and a pit alongside our foundation and a new exterior meter and pressure regulator. Exceedingly well done process and incredibly smooth. They even had a cool soft-tracked excavator so it didn't damage our lawn! Total outage was about 2 hours. How many nines of reliability is two hours of outage in 40 years?
Most gas appliances also require electricity to run, and in addition the broader gas infrastructure itself requires electricity to compress the gas so that it reaches the consumer. There's no getting around the need for reliable electric infrastructure; centralized gas infrastructure won't save you from unreliable electricity.