I believe that the printed sheet depicted in the PDF document shows the board from the
print side.
You are right about the board leading one to insert the transistors incorrectly.
I still find the arrangement of the coil colours weird. I believe that is another mistake.
The circuit agrees with that of the HX-6B around the oscillator at least. The component values are different of course due to the differing supply voltage. On the KX168 diagram I still think they have made another mistake and L2 ought to be Red, B1 white and B2 Black.
Therefore the set would still never work if assembled as per the PDF document's images.
If that is the case it is inexcusable to leave such errors on the printed information.
If I had cottoned onto this earlier I would have had at least two spare kits.
The kits were dirt cheap, but I wasted time assembling them.