I am sure there are techniques that use fusible grid interfacing, but I don't think I'd go that route. I think great piecing is largely a practice, practice, practice sort of thing. Even though they are fine motor skills, we need to keep in shape/practice and just can't expect to do perfect work if we've just taken months off of sewing, do some warm ups first!
I use a combination of techniques for piecing accuracy. For my first 20 or so years of quilting I worked at doing everything very precisely, and then for the last 20 or so years I've been doing a lot of "cut large/trim down" techniques and I find even with extra steps, I am faster, more precise and overall happier.
I also pin a lot, like typically 2-3 pins per piece, and/or every 2-3 inches... I know people who can get great results without pinning, but it turns out I'm not one of them.
I press my seams open, I find that combined with pinning lets me match things exactly by looking down from the top edge of the seam.