What the thread establishes
The answer.
The uneven result is a technique issue, not a style. The core problems identified are an insufficiently smooth substrate, an uneven or improperly cured urushi adhesion layer, and overly aggressive or inconsistent polishing. Corrective guidance centres on preparing a perfectly flat ground, applying the urushi layer as thin and even as possible (thinning with turpentine if it will not self-level), sprinkling with a funzutsu of the correct mesh, allowing both the under- and over-powder urushi to cure fully, and then sanding and polishing in very small increments while examining the surface after every couple of strokes. For silver work, one commenter recommends blending roiro with kijomi in a ratio between 1:5 and 1:1 to neutralise the brown cast while retaining hardness. For wide areas, a coarse powder (#7–#9) is applied first, excess tapped away, then a finer grade (#2–#4) laid over it to build an even layer.
—
What goes wrongThe marufun layer polished unevenly: in some areas the abrasive removed the powder entirely and exposed the black urushi undercoat, while in other areas insufficient abrasion left a dull, thick powder surface. The OP recognised this as soon as sanding began and noted a narrow band of visible undercoat around the perimeter of the repair. One commenter suggests the cause may be over-abrasion or the powder sinking into an under-cured urushi layer.
What recovers itNo in-situ repair of the finished piece is described. One commenter notes the piece looks acceptable from the top and that few will inspect the interior of the lid. The OP expresses willingness to accept the result for a personal piece. The practical recovery is applying the corrected procedure to the next project, which the OP reports is already going better.