So I took the advice of re-mounting the tires with soapy water, I also switched the front and the rear tire to see if there were any noticeable differences. At 50 PSI I got the bead to set, and where there was 3-4mm of "wobble" in the front tire has gone down to ~1mm of wobble which I feel is acceptable. I think since the tire has such a tight fit on the rim that it requires a bit more effort to seat 100%.

I am getting rid of these tires however, only to swap them for lighter tires with lower rolling resistance, but at least I can confidently sell the Conti's knowing that there's no true issue with the tires.