Lenses don't have "sharpness" they have diffraction limits, and that is going to be a product of the lens design + aperture.
How bad that diffraction limits apparent sharpness will depend on the film, both the size of the grains and size of the film. Expensive films would be shot in 70mm, super cheap shit might be 8mm, with 35mm being the typical choice for most mid-range films and even tv shows. That film size has a far greater impact on apparent sharpness than anything else.
Oh, and lenses haven't really changed for a long time - ray tracing was being used in the late 1800s to design lenses. The big change since then has been coatings + big reductions in cost. A fixed focal length Carl Zeiss from 100 years ago is 'sharper' than any zoom on the market right now (at the same focal length ;^)
Close but not quite. There's manufacturing tolerances with today's lenses so you can happily pixel peep on your 60MP full frame camera with amazing sharpness even at the edge of the image. There's also a whole Lomo genre with deliberately shit lenses.
There has also been advances in material science for glass, especially low dispersion elements for chromatic aberration correction, and frankly that is difficult since visible light runs across around 400-800nm that bends differently. It can mostly be corrected with achromatic doublets but not perfectly, but its good enough for most cases.
Lastly for video focused lenses, they're so goddamn expensive that $4000 is a babby manual lens. The reason behind that are features like automatic mechanical breathing compensation, parafocal capability, color shift compensation and guaranteed fixed transmissibility. None of these features are relevant for stills photography.