Definitly not. If you don't believe it, check the registration marks online for the operator.
http://www.austrocontrol.at/main.php - for all Austrian Aircraft, updated Mar 31, 07 (it's only in German but check the XLS file)
http://www.bazl.admin.ch/fachleute/l...x.html?lang=en
for the Swiss one (in English)
By the way, heard that the guys at the Luxembourg office are heavily overloaded with work, e.g. one guy had only one day off in a 6 months timeframe (including weekends and public holidays). Might be only a rumour, who knows?