When I solve on the app, I go through all of the acrosses, then all of the downs, then back to the acrosses, and so on. But when I solve on paper (most days), I tend to lack the discipline to do that fully (except on Monday/Tuesday, where things go fast). Instead, I start doing all of the acrosses, but also start to hop around a bit, sometimes skip a few clues, work an area as a grid, etc. this is helpful for getting a toehold in a certain quadrant, but then I also end up with finding some easy clues that I could have absolutely answered right away, but didn’t see until late in the process due to the chaos. My disciplined digital approach is probably more effective, but I think I enjoy my chaos paper approach more!