At $0.08/kWh, Washington not only has the cheapest electricity in the US, it is also much cheaper than any part of Europe. It makes sense that local building would take advantage of that.
That's what's happening in some city centers in Europe as fewer and fewer residents use gas, those that do need to share the maintenance costs for the gas network, which makes it more and more expensive to keep using it so there is a spiral of people leaving. In stockholm it's now north of $200/year for a studio apartment even before buying any gas. You get quite a bit of cooking electricity for $200!
Typically though gas is used in the U.S. for more than cooking (stoves): heating water. More and more people are shifting to on-demand tankless heaters but even with those the perception is gas is better than electric.
Is this the case for new construction too? Why aren't heat pumps used these days?
They lose efficiency in very cold conditions (https://en.wikipedia.org/wiki/Air_source_heat_pumps#In_cold_...). Albany, New York (https://www.weather.gov/aly/SpecialDataALB) has an official all-time record low of -28F (-33C), which is well below the point where air-source heat pumps have any meaningful efficiency advantage over even resistive heating.
Heat-pump solutions that use the ground as their heatsink are much more expensive because of the excavation required.
What we do have in Sweden is cheap renewable electricity so choosing heat pump over oil/gas doesn’t just mean electric it means renewable over fossil too.
Heat pumps are likely not used in New York state because most of them cannot warm the house sufficiently during the coldest winter temperatures (0F or less).
So this is not the reason why the US has less induction stoves. In fact, cooking isn't a big expenditure on your energy bill. Heating is, and yet plenty of homes have central (gas) heating yet still have an induction stove. Simply because it's possible and convenient.
If the US indeed has less induction stoves than the EU, the fact that it would be less convenient due to the electrical wiring of American homes is a more likely explanation than gas prices.
Any house wired for electric cooking appliances should be able to handle an induction stove. Electric stoves are fairly common, but induction stoves are rare.
That suggests the cause is inertia. Plain electric stoves are very impractical, but they've been around for a long time.