>>273047001.) Let's look at the official English localization. If that were really what it meant, it wouldn't have been "objectionable" content in the American release.
2.) Married is not the generally used verb when officiating a wedding. The last line clears it up by saying "because long ago people and Pokémon were the same."
3.) Why would people stop marrying their pokemon together? That's probably something that is still done a lot. And why would a pokemon "officiate" a wedding for humans? That sounds stupid as fuck. I could see a pokemon being a bridesmaid/best man or something, but running the show?
Your interpretation is shit.