Rule of thumb, not always true: tessars have less coverage than plasmats of the same focal length. They are therefore more prone to producing images that aren't as sharp towards the edges and especially in the corners unless the lens is stopped well down.
I'm an ignorant barbarian, find discussions of lenses' rendition and "aesthetic" silly. I have played the name the lens game with shots of the same subject, same lighting, same emulsion, same exposure (aperture and shutter speed) with a variety of lenses of the same focal length but different designs with people who held themselves out as connoisseurs of lenses and their "signatures." The experts failed miserably at matching lens to image.
If you want to know how you'll characterize a lens' signature, get it and use it. No one else sees the way you do, and you're probably inconsistent. Asking others what you'll see makes no sense.
Plasmats' big advantage over tessars is coverage. Focal length for focal length they allow larger movements for the same loss of image quality at the edges.
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