Can same-sex couples with a Thai Marriage Certificate apply for a Non-O E-Visa based on marriage to a Thai national?

There is interest in whether same-sex couples with a Thai Marriage Certificate can successfully apply for a Non-O E-Visa or an Extension of Stay based on their marriage to a Thai national, as well as how financial requirements may be affected. Initial comments suggest that while there have been no confirmed reports of this being possible at immigration, some embassies may allow it based on the country's recognition of same-sex marriage. It has also been noted that if granted, same-sex couples would likely face the same financial documentation requirements as heterosexual couples.