I looked that up not long ago... if I remember it's an acrylic base.
It's always best not to mix finishes (lacquer, acrylic, poly, etc) as they have different properties and can react with each other, BUT this is more a noticeable concern with furniture. On arrows, I don't think it's a big concern.
I use fletch tape, and I've had the same experience with acrylics and not good adhesion. Seems to be best with lacquer or poly. I painted some kids arrows with acrylic paints a couple weeks ago and then wiped on lacquer. Feathers are sticking great, and so far I don't have "finish" issues.