In trying to explain to my skiing wife why I love cycling but dislike skiing, I have developed the following theory.
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And when we eat cake, we know we've earned it.
Skiing, as practised as a holiday pursuit, is, in pretty well every respect, the exact opposite.
Qualifications: cross-country skiing is closer to cycling than downhill. And if your cycling pleasure is built round sportifs, carbon bling, GPS, team-branded Lycra, strava and PBs, sag wagons, and throw-away inner tubes, your cycling will be more akin to skiing than mine is!
It all depends on the attitude of the person whether they have that romantic connection with place you talk about.
I think you're talking more about the typical demographic that goes downhill skiing rather than the activity itself.
The best desserts I ever had was atop an Austrian mountain after skiing - Kaiser-schmarm, Strudel, Germknodel are just fab. And I did earn them. Skiing in Canada, the US, Japan, France, Switzerland or Austria have all been slightly different experiences in terms of mountains, people and apres-ski. If you were lucky enough to live in the mountains, a season long pass would completely change the economics of it and many people's attitude towards it who are posting here in my opinion.
I love being in the wilds of the mountains be it in summer or winter, on foot, skis or bikes. Getting to the Col de l'Iseran in both seasons shows different aspects of place that you do not get just from a bicycle. Skiing certainly helps with your descending on a bike btw.
I can understand there is a goodly amount of fear involved in skiing that underlies much of the frustrations people have in learning how to ski. As with many things in life, if you stick at it and give it a chance, you can get a lot out of it.
I'd love to go ski-touring, getting from place to place through the mountains without ski-lifts and staying in mountain huts en route. Cycling will never give quite the same thrill of escape, danger and vulnerability as when you are off-piste in the wilds - it just gives something different and that is completely fine.