Isn't the swirly bokeh (at least partially) caused by a hard optical vignetting that changes the shape of the aperture at off-axis angles? As in figure 2 here:
Vignetting. There are other factors of course, so just having a deeply recessed front element isn't enough, but for a given lens if you added an inappropriately sized lens hood, or stacked a bunch of filters, the cats eye bokeh would be exaggerated? Should be easy enough to test with a roll of black cardboard and some Christmas lights.
I think there's other factors to the overall wiggy swirlies though, the soap bubble bokeh, a generally sharp thing in focus but soft elsewhere, or other funny things that tend to be "corrected" in more modern lens designs.