Not necessarily a problem. This is why using ohms for every aspect of electrical testing does not tell the whole tale.
You can get zero resistance to ground on many positive circuits. But it still has enough resistance to not short to ground when energized. First time I came across that I was just checking wires (in order to learn what was what) that were working perfectly fine. No short circuits, but a direct to ground reading with an ohm-meter.
I'm not sure about the theory, so one of the others like Viper or Steve or someone who's familiar with that territory will have to clarify it for both of us.
I never learned what it was, I just learned that it's not always as it seems.
If you get to within about 1/4 of a volt to battery voltage at that wire, it's probably not causing your main issue. Optimally all wires should show full battery voltage, but in the real world of older wires you often see several points of loss. Especially on the longer wire runs.
But at anything over a 1/2 volt loss, I usually look to fixing that circuit. Either correcting a loose or corroded connection or deteriorated section, or just replacing the whole thing.
At less than 1/3 volt loss I don't usually concern myself too much on the older rigs. Adding computer controls, such as those for an EFI conversion however, I would tolerate much less of a voltage drop.
Anyway, before you dig too deep or pull any more hair out, wait for someone to fill us in on why you can get a low resistance to ground reading through a positive circuit.
Paul