I too am not sure I buy the argument. While Danish has a institution 'controlling' the language, Danish is far more irregular than English is. This is also hindered by Danish having 18 basic vowels (most of any European language), although it has 9 (+4 from English) letters to describe the vowels. But even so, they overlap.
Despite Danish's inconsistencies, problems and - some might say - generally awfulness (which I personally like!), Denmark has a 99% literacy rate.[0]
[0] http://country-facts.findthedata.com/q/66/2395/What-is-the-l... (Although, those data are from 2003.)