My grandparents (they're long gone now) were the last generation in Mühlviertel, where I grew up, to see flax used as a main crop of the region: all parts of the plant were used, the weed from its roots to its tips for flax, and the seed for oil - flax oil, a traditional speciality of Mühlviertel. (Tastes terrible, if you ask for my opinion, but my parents love it.)
Flax had gone out of fashion in the 1960ies; there was no money in flax, not any more. (Not that there was much in it beforehand.) This has changed slightly since, and flax again is en vogue.
Nevertheless I was rather surprised to find flax recently in the immediate surroundings of Vienna, planted as a crop. Flax is flowering right now, and the variety used in agriculture (rumour has it that it is a domesticated version of Spanish flax) you can see here:Wild flax also grows here in Austria, especially in Lower Austria and also in Vienna, like this specimen from Lobau national park (linum austriacum - Austrian flax): it is quite useless in agriculture, but so much more beautifully flowering.