Kiowa, Apache and Navajo are all white.
I've never seen a blackberry with pink blossoms, although there may be traces of pink in the immature blossoms, but I can't remember. Definitely not pink when open for business.
But they do exist:
Pink Blossoms

The following two images are of the same variety of blackberry (triple crown) on the same date and location.
Blossom color may not be the best blackberry identifier.

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There all pink first day they open then white until fall off bush.

my bushes i bought from lowes stay pink and are very tarty tasting my friends stay white and are sweeter

just wondering why

chester is bright solid pink

maybe that's what you bought HU-12506704?

i can almost guarantee that rosborough flowers are lavendar, but can't quite 100% guarantee it yet