Strings Jr-That's what I was thinking, no dot at the first fret and then it looks like the dot's diameter is larger than the parallelogram is wide so you should see four parts of the two fill in dots at the 12th fret if it was a re-purposed board.
I will try to get that pic tomorrow. It is hard to explain, but given what you just said, let me try a little harder. I completely forgot that, of course, there would be two dots at the 12th fret on an ES-335 fretboard. If this were repurposed for a 345, each of the dots at the 12th fret would have been replaced by a parallelogram. A "fill" dot between the parallelograms would therefore not have been necessary. However, between the two parallelograms in the 12 fret is a black dot, no more than 1/4 the size of the fill dots in other frets. Most importantly, it does not look like the other fill dots at all. This may sound goofy, but it looks like nothing more than a mark indicating where to drill.
This is getting so interesting. Thanks for all the input. I promise to get that photo posted here asap.