For me, the consistency was like yogurt, after you stir it up. And yes, I think
one hour of cooling would be enough (the header notes at the top of the recipe say they liked it even better warm. I'd cool it for however long you can, stir it up to even out the temperature, then serve.)
I couldn't remember if I put the salt in while I was making it, (I did use salted butter, it was all I had on hand) so I put a light sprinkling of sea salt on the top. It was like salted caramel and I liked it a lot.
Oh, and in the recipe, there's an option to use either milk or half and half. I went with the milk option, which I liked a lot. It's plenty rich that way. Half and half, for me, would be too much...and I've got a wicked sweet tooth.