In Stonington, CT, I pay $9.95 per month (customer service fee) just to be connected to the natural gas line. This alone offsets any savings from an energy efficient electric heater, if that was the only appliance I need gas for. However, I wanted a gas range in my new house. Since I'm already biting the bullet, I went with a gas dryer and gas water heater to reduce my bill.
I did run some numbers of tank vs tankless gas heaters and tankless did have a lower life cost, but that was based on the assumption that I would have to replace the tank model after 10 years, whereas the tankless life expectancy assumption was 20 years.
Between the 3 appliances, I use 16-18 therms per month, roughly $40.
JMH, your min. flow rates are accurate.