As explained in the first paragraph of this answer, air will bend inwards on the top of the wing, and outwards on the bottom of the wing. This creates an inward flow component on the top of the wing and a outwards component on the bottom. I'm pretty sure this would create vortices/vortex once the wing has passed. It sounds like what I'm saying might be hard to understand, so maybe try to visualize the flows I was talking about.
So my main question is this : Would this bending of air on the surfaces make one big vortex or multiple smaller ones once the wing has passed? The picture on this answer might help convey what I mean by air bending on the upper and lower surfaces.
Also, how would tip vortices change this, since they contribute to these spanwise flows?
(If that doesn't make sense, I will happily clarify in the comments and edit this question if needed)