Yes, it is recommended to draw the branches straight when preparing the art assets for Spine. Drawing the branches straight allows for better deformation and takes up less space on the texture atlas. This approach also makes it easier to animate the branches smoothly by rotating and scaling the bones.
For example, in the context of duplicating an animated object, it was mentioned that straight branches can be used for many different branches and deform better than curved ones. This method helps in achieving smoother animations and optimizing atlas space.