I'm rebuilding/refinishing a maple hutch and there are several crossgrain situations. The bottom half of the hutch is several inches deeper than the top half. The bottom had a couple of tongue and groove dust frames to which the solid panel sides and top were screwed. Those frames failed.
The top section the sides are glass in cope and stick panels and again those are screwed directly to the solid wood bottom. The length of the cross grain section is about 9", compared to about 14" in the bottom, and nothing has failed there.
Obviously I'll be reworking the bottom half. But if the top half hasn't failed after 30 years or so should I bother messing with it? The screws are in at an angle, which if I'm off with I'm going to punch through either the inside or outside of the sides (both are visibile) and the screws are flat head so it's not a simple matter of elongating the holes in the bottom, otherwise I'd have it done in less time than it took to write this.