Is there such a router profile as this:

[LCHIEN]

With R= 1/4", or 3/8" or 0.5" this might make a good handhold or finger lift for the side of a small box. I can't find anything like it.

With R=3/8" the bit would be 3/4" diameter and 3/8" cutting depth.
To make a stopped groove it would be nice if it was plungeable.

When you use a bull nose bit to make fingerlifts it leaves sharp edges on your fingers. the secondary radius removes that.

[LCHIEN]

Ah, I found that you can use the search words "ogee groove bit"
and get ones like this - they don't have two radii, both the same, but closer to what I want.
No edge forming bits with bearings or rail and stile ogee bits.

[LCHIEN]

A couple of people at Reddit pointed out that Rockler and Woodpecker offer juice groove bits similar in profile.
R2 is much smaller but achieves the rounded shoulder I was looking for.

[LCHIEN]

what I was looking for:

Core box groove with softened shoulders.

[leehljp]

Seek and you shall find - Sometimes!