Natural gas consumption in the EU:
USA : 683,300,000,000 cubic meters per year
EU: 515,000,000,000 cubic meters per year.
China : 129,000,000,000 cubic meters per year
Australia: 29,400,000,000
Canada: 92,900,000,000
So, ehmmm the EU consumes a hell of a lot of natural gas (2nd largest gas user on the planet) using 16% of the gas burnt in the world every year.
USA uses 21%
The major reasons for a difference in this would be two fold.
Climatic - Europe's population centres are much milder than their North American equivalents so most European households do not need as much heating and cooling as their US counterparts.
Energy efficiency - European homes and offices tend to be more efficient.
Alternatives: A lot more of Europe's electricity production's met by nuclear power than the USA. I'm not arguing that's good / bad, but it's fact.
USA 19% nuclear from 104 reactors.
EU : 29.5% nuclear from 132 reactors.
There is also more focus on renewables in the EU.
EU: 834.5 TWh/year
USA: 436.4 TWh/year
China: 764.5 TWh/year
All that being said, using natural gas to heat a dryer in your laundry room is still less environmentally unfriendly than burning that gas in a power plant and suffering all the generation and transmission losses then using the remaining energy to heat your dryer. Although, it depends on the fuel mix being used to produce that electricity.
But, I do think that natural gas dryers should be more common place in the EU. It's surprising that they weren't pushed more by manufactures.
They are definitely available here in Ireland and were marketed heavily by the gas utilities in the past, but you are limited to a handful of manufactures and models compared to electric counterparts.
Miele briefly had a gas dryer on the market and withdrew it, again I am not sure why that was the case.