In a famous 1972 interview, Charles Eames answered a short sequence of fundamental questions about the nature of design.

It would be great to add a way to create Lamé curved corners with rounded corners. (See the section "Optical corner rounding" in https://medium.muz.li/optical-effects-9fca82b4cd9a for an example of this.) Right now, one can make geometric round corners in Adobe Illustrator (and InDesign), but it would add greater flexibility to designs to use Lamé curves to create these more nuanced curves.

It's too easy to "break" a live corner in Illustrator.

Compare how resilient a live corner is in Sketch versus in Illustrator. In Sketch, the original anchor point is available for manipulation no matter the corner rounding value.

In Illustrator, translating a rounded corner in any way is highly likely to expand it to a raw bezier curve.

Thus in Illustrator, if you want to edit your path at all, the best practice is actually to reduce all corner rounds to zero before making any edits. Then edit the path, and then restore the rounding values. To accomplish this, I end up annotating my own corners so I remember what values to put back in the corner field.

This is a very tedious way to work. Illustrator team, this is probably my number one complaint about Illustrator right now.