Is it a DRC failure? I have my boards full of such shit and I don't care. I think the 1mil wide think cannot peel off and float because it's held on both ends. Maybe it can get interrupted but I don't rely with my groundplane connectivity on such thin places.
This should be a failure. A 1 mil trace can easily become a 0 mil
trace at your PCB fab house due to their tolerances. That is, the
etch process used to etch out your traces has variability; if you have
1 mil features on your board, they might be totally eaten away during
PCB manufacture. Most PCB houses will specify their minimum line
width; it seems to vary between 5mil (best case) and 10 mil or more
(depeding upon their quality and price).
-Dan