He says, and those closest (including Dagmar and the Chief herself!) may hear the whole of it, whether or not the Mountain repeats it exactly.
"Please let them know that... even though I think the whole Beltane business is a load of malarky, and oaths are a waste of breath - Dagmar doesn't feel the same way. She would fight and die to the last breath and last drop of blood and last ounce of glamour in her for this hold, and even for anyone not of the hold who needs protecting. It's dumb as hell, but that's my friend. And she doesn't need an oath to prove it... but if anyone DESERVES the recognition of an Oath, it's her, and Rivervale will be damn lucky to get it."