I’m afraid I’ve read the article, and feel I must be missing something crucial.
Yep, I don't see what the difference is between a single woman and a lesbian couple - "I find it difficult getting pregnant because I don't have a male partner".
Indeed, the lesbian couple is better off because they have redundancy - it's unlikely both women will have fertility problems.
If they were to get better treatment than a single woman, then a single woman would have grounds to complain of discrimination versus the lesbians, surely? Why should a lesbian couple have more right to a family life than a single woman?