hmm, seems reasonable.
Ananda Ramayan was written during the Classical ages - in the pre Islamic era. Whereas Tulsidas wrote his stuff during the Moghul times - during Akbar's reign.
If you judge them just chronologically, Ananda Ramayan would trump Tulsidas or Kamban. The only reason people give the latter more credibility is the CONTENT, rather than the era.
That's why I've always maintained that only 2 versions of the Ramayan can be claimed to be accurate. One being Valmiki, and another being one written by Vaishistha - apparently he too wrote a version. Either of these would be authentic. I don't give credence even to the version written by Vyasa, since that too was an yuga after the original events