I tested this workflow out and I have logged in a request that it would be good if at least the Right Click Snaps like Middle of Point to Point or XY or DX DY would work when Georeferencing a PDF Image - the challenge is that we only load the Vectors into memory - that likely means we dont have the vectors only the End Points and that is why we show the ends not the lines to snap to, so we may be dependent on Snap Modes that can work with Point locations only - however that would solve the issue that you are raising at least
In the short term if you have the alignments and label them prior to georeferencing images, if you can set your Tick Lengths to be the same as those in the PDF then you could snap to those and do your referencing - a little more risky than using the Intersection agreed, but it would work - failing that you are dependent on "Free Snapping" which is also a little risky or finding some other points that are better defined in CAD and PDF
Alan