So there's a few things to clarify here. Firstly, let's look at what it looks like when a cylinder (like the sausage form) intersects with a sphere (similar to one of the additional masses): https://i.imgur.com/6WgR3yU.png

The key thing to note is that there aren't any sharp corners - like the masses I drew on your aardvark, it achieves a smooth transition, basically taking two C curves (one from the sphere and one from the cylinder) and adding them together to end up with a sort of S. It's not quite as simple as that, but those are the core mechanics of it. The only place where we end up with such sharp turns are either when the underlying form has an edge/corner of its own (like when intersecting a sphere and a box), or if you're artificially introducing some other reason for there to be a sharp corner.

Having that sharp corner in there isn't wrong, but the issue is that it implies the presence of some other structure that is causing it, but that element is at no point defined in your drawing. Any and all complexity (like corners) should be the result of specific forms that are present, and you need to yourself understand how they exist in space.

The other alternative would be if your additional mass itself had its own corner (like if you were wrapping a hotdog bun around a sausage, where the bun itself eventually ends), but our additional masses are just amorphous blobs of meat, which exist in a vacuum as a simple ball until something else presses against it.

To answer your question at the end, I don't. As shown in the intersection between the sphere and the cylinder, that is the correct intersection, and therefore it doesn't break the illusion that the construction itself is 3D. There is no such decision being made, and the 3D illusion is paramount - so if you did want to create more of a hotdog effect (with your sharp corner), you'd simply have to also define the form that is causing it to occur. It wouldn't be a great idea, however, because these sorts of additional forms are mimicking the behaviour of muscles, which also don't have those kinds of sharp corners, and instead all press up against one another in more of a "twisting", organic fashion.