Any AI researchers still plodding along at mere human speed are then doomed: they won't be able to catch up even if they manage to reproduce the original breakthrough, since the head start enjoyed by AGI #1 guarantees that its latest iteration is always further along the exponential self-improvement curve and therefore superior to any would-be competitor. Being rational(ists), they give up and welcome their new AI overlord.
And if not, the AI god will surely make them see the error of their ways.