Of course Obergefell never says that children are part of the marriage contract.
vv Obergefell's third tier of rationale vv
Under the laws of the several States, some of marriage’s protections for children and families are material. But marriage also confers more profound benefits. By giving recognition and legal structure to their parents’ relationship, marriage allows children “to understand the integrity and closeness of their own family and its concord with other families in their community and in their daily lives.” Windsor, supra, at ___ (slip op., at 23). Marriage also affords the permanency and stability important to children’s best interests. See Brief for Scholars of the Constitutional Rights of Children as Amici Curiae 22–27
So the court said on page 15 of Obergefell Opinion:
Obergefell v. Hodges | Obergefell V. Hodges | Fourteenth Amendment To The United States Constitution that the marriage contract benefits are shared between adults and children "parents" and children to be exact. Imparting benefits "important to children's best interests."
So, we have a contract that's shared between adults and kids (check that affirmative box on the Infancy Doctrine), that confers benefits to children (check that affirmative box on the Infancy Doctrine), and Obergefell was a hearing about removing one of those millennial-old contractual benefits for life (in the case of Dumont, a father for sons or daughters) using a revision of said contract. Yet, children did not have any counsel briefing the Court on that key benefit being removed.
Instead, 5 layman Justices removed that benefit for them, without any briefing whatsoever on its impact to sons and daughters as partners to the marriage contract.
Now in Dumont we have a set of lesbians holding that contract with the same implicit anticipation of sharing with children, trying to force the State of Michigan to disgorge boys (or girls) into their new contract type which banishes a father from boys (or girls) for life. Also without any briefing to the court of the required separate representation the Infancy Doctrine requires in such a civil case. We have the check list 1. YES, marriage is a contract. 2. YES, children share it with adults (see Obergefell quote). 3. Therefore any monumental or impactful changes to said contract re: "important to children's best interests" must have children's input in court.
I'll leave you with this, and plenty of time to spam this post to another page; whereupon I will promptly repost it:
Britain's Youth Index 2011 (the largest youth survey of its kind) showing the importance of mothers to daughters and fathers to sons. Lack of which is detrimental to them:
Youth_Index_2010_Jan2011.pdf
Fatherhood's important to boys (and girls), A US Dept of Health & Human Services Report 2006
fatherhood.pdf