Good question, however the answer is a bit pedantic, so I'm going to be a bit pedantic in my comment. Whilst you can't disable full text search at the database level, you can achieve this in effect by disabling it at the table level, so if you do it on all tables, it is removed, is it not?:-)
I would say not... because if I then add a full text index to a table I can still do a full text search.
Whereas, in previous versions of SQL, if I'd disabled it at database level adding a full-text index would not result in the ability to full text search.
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