Would "vortices formed at the wingtip caused by the combination of spanwise and chord wise airflow mixing" be a better description?
Simple response is NO, vortices do not form at the wingtip.
One may observe a compression discontinuity at the wingtip, engine cowling, or at a flap edge, but this is not the wake vortex rollup created by the aircraft.
In the next year or so, there will be a radical shift in the understanding of the mechanics of wake generation. I noted opposing arguments from Boeing and Airbus on the issue of wing design, airflow, and vortex generation, which was a bit surprising at this point. Then again, even the 787 has vortex tabs on the wings....