First, I want to clarify the difference between counted and stamped cross stitch. Counted cross stitch and stamped cross stitch represent two fundamental and different approaches to this needlework craft. 
In counted cross stitch, the design is brought to life by the stitcher following a pattern or chart, meticulously counting the threads of the fabric to place each individual stitch on a blank canvas.  This method demands careful attention to detail and counting accuracy but allows for intricate designs and creative freedom. 
In stamped cross stitch the process is simplified by having the design directly printed onto the fabric.   Stitchers then follow this pre-printed guide, covering the marked areas with stitches. While stamped cross stitch offers a more accessible and often quicker start, particularly for beginners, it inherently limits design customization.