MollyB is a name that I used to dread in the antimoon forum. This topic opens with the heading of "On genitive antecedants". But actually provides two sentences and asks if they are grammatically correct or not. So, the Topic is not discussing 'Genitive antecedants', whatever they might be.
I followed one of the links, the more obscure one about "Enheduanna's genius". The site that it comes from is about "C G Jung Australia".
Google: Did you mean: Genitive antecedents
The topic of "Genitive antecedents" is indeed obscure. There is very little on it in Google. However there is this:
"In the question the students were required to identify a grammatical error, if there was one, in a sentence. The sentence in question was as follows:
Toni Morrison’s genius enables her to create novels that arise from and express the injustice African Americans have endured.
The correct answer, as originally scored by ETS, was that there is no error in this sentence. Keegan disagreed, believing that the was an error in the pronoun her and its antecedent. According to Keegan, a pronoun cannot take a noun in the genitive case as its antecedent. Keegan cited several usage manuals backing up his claim."
http://www.wordorigins.org/index.php/more/911/
So, this is a very obscure discussion. Perhaps it is best to discuss first what is meant by 'genitive' and 'antecedents'.
genetive:
Noun
1. (grammar) (uncountable) The genitive case; the inflection pattern (of any given language) that expresses origin or ownership and possession.
2. (grammar) (countable) A word inflected in the genitive case; a word indicating origin, ownership or possession.
http://en.wiktionary.org/wiki/genitive
antecedents:
4 a: a preceding event, condition, or cause
b: plural : the significant events, conditions, and traits of one's earlier life
5 a: predecessor
http://www.merriam-webster.com/dictionary/antecedents
TO CONCLUDE
In the words of Richard R. Hershberger, regular participant in the Wordorigins.org discussion group:
"I, on the other hand, find the whole affair rather inspirational. I still live in a country were a person can make up a rule of English and, through the sweat of his brow, get it accepted by a pseudo-authority."
http://www.wordorigins.org/index.php/more/911/
So, this is an obscure discussion about an obscure grammatical subject that is barely relevant to English as it is spoken and written. To answer the original question, both examples are perfectly grammatical!
Personally I think that it is a big mistake to 'split hairs'. Far from being a sign of someone who is very clever. I think that it is a sign of someone who cannot tell the wood from the trees. Someone who has an academic interest in English but no real interest in English as it is spoken or written.