Yeah, weird thing is that I've never exported premultiplied alpha-formatted for images I use to animate in Spine Editor ('cause Photoshop can't really do that anyway) and this sort of thing never happened to me. It's always been really clean. I assumed either Spine had always done the conversion behind the scenes when loading images or it wasn't using a premultiplied alpha blending shader.
The only premultiplied alpha export I've ever done was for making the texture atlas and sheet.
And from what I've seen just opening PNG files in various places though, Photoshop already makes the bordering RGB values bleed into the transparent pixels anyway.
So that made me think it was some weird program or unusual export settings that caused it that Spine wasn't automatically handling (if it made sense for it to handle at all).
Anyway. Weeeerd.