This is a guesstimate as GF cannot assist with the performance of another manufacturer's product used in conjunction with our own finishes.
It looks like Annie Sloan Chalk Paint is absorbing some of the topcoat because it is so porous. High Performance does not streak over a sealed surface when properly applied. Most likely the chalk paint is so dry it is pulling some of the solvents away from the High Performance, causing an uneven finish or the appearance of streaking. This happens on the original powder Chalk or Milk Paints also.
Possible solution: Porous paints such as chalk paint may require additional coats of High Performance Topcoat to seal off the paint. If the first coat absorbs into the paint it will require multiple coats of High Performance to build a film of sealer above the paint. Using a foam brush will accent the streaking due to the number of strokes needed. We suggest a fairly liberal application with a large applicator such as a foam roller or a pad applicator.
Always test before proceeding with the entire project when using General Finishes projects with other manufacturer's products.