Maybe you are right but in what regards Europe I don't think that is the case. The British "wasted" a fortune recovering the Cutty Sark that was destroyed some years ago by a fire:
Curator’s tours of the Cutty Sark : Events : Visit : RMG
The Swedish took from the bottom of the ocean the Vasa, a XVII century ship, preserved it and put it in a museum at a fabulous cost.
K-Something,Blonde: Vasa Museet
The French besides having several Tall ships have almost finish a new one, a copy of L' Herminoine the ship on which La Fayette embarked in 1780, to bring help and support to the American insurgents.
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Maritime museums in Europe are popular places and I would say that existent tall ships here are not at risk and have enough funding, state or from private sponsorship.