Wow, I just took a look at the AHS database, make that ADS now I guess, and the picture of Fairy Tale Pink there looks nothing like the garden photos here. Makes me wonder where in the world that AHS photo came from.
So I took a look at my pictures of Fairy Tale Pink through the years 2009-2016 in my garden and found that it definitely looks more peach than pink. Very few photos showed a tinge of pink. I do love the midribs with the variations of color.
I purchased FTP in June of 2009 and every year I said I was going to get rid of it, but I still have it. What I don't like about it is not the bloom, but that it blooms just above the foliage. I wish it were just a little bit taller.
From the pictures, it appears to only have two-way branching, and I can't really tell how many buds but it doesn't look like more than 10. It does seem like there are a lot of scapes though. It begins blooming around mid-June and is done by the first week of July.
Even though it is supposed to be a rebloomer, I've never seen it rebloom here in my zone 6b garden. And I have never seen rust on it.
This picture is from 7/6/16 and shows how it blooms in the foliage. There are several scapes with bud scars so you can see the branching and about how many blooms there were.