After some research, I think I understand what's behind the complaint. It's not completely crazy, but it's not exactly based on a full understanding either.

The older lens designs allow more veiling glare — stray light. This reduces shadow detail, and makes the blackest blacks less black. (Hence, "veiled".) The JPEG processor, however, sets a black point such that the almost-blacks are rendered as absolute. This is independent of the exposure of the highlights — the stray light applies there as well. Then, the midtones may indeed appear expanded (with more "soft transitions") simply because the black point is set higher.

So, given the exact same camera settings, the older lens may produce a digital image which appears more delicate. The thing is, this comes at the expense of shadow detail, and crucially, one can easily get this lower-contrast effect from a lens with better overall contrast (that is, less stray light) simply by opting to cut out the shadow detail.

So, if you have a more modern lens and want to get a "look" more like that from older designs, you may indeed want to change the settings a little bit, either in your RAW workflow or in the in-camera JPEG processing. Experiment with turning down the overall contrast and shadow contrast in the tone curves and you may get results you like better. You may also want to underexpose a bit more than you would otherwise, and then "push" in RAW processing, setting a black point so the more noisy shadow detail is cut out and focusing on getting the mid-tones as you like.

This isn't to imply that the new designs necessarily require more work to get this look, by the way — a key aspect of the complaint. You just need an appropriate preset, which should be pretty easy to do with most modern cameras or RAW processing software. The lens which controls the stray light gives you more flexibility here, since you can't create the missing detail to get more dynamic range from the older lens designs.