The reason something looks like a mirror is because the scratches are small enough to not interfere with light reflection, however, on the other side, if it isn't a mirror you will see scratches. rhynowet 1200-1500 will look like a mirror in certain light but have visible/frosty/satin sand lines in other light.
The closest thing I have ever gotten to what you are asking was working with hamons, sand to 1200, and do 5-10 light etch cycles (5 seconds) in dilute ferric and use 1500 grit silicon carbide powder in between etches. This leads to a frosty looking blade with almost no lines but also not mirrored.
Also, have you tried hand sanding to 400-800 grit and getting a perfectly uniform satin finish? or is that what you don't like?