System Information
Ubuntu 16.04 LTS, Nvidia GTX 970

Blender Version
Broken: 2.78a (as well as earlier versions I'm sure)

Short description of error
As the title says. When creating a new paint slot in texture paint mode, you choose the slot type (Normal, Diffuse Color, etc), and give the texture a name. The paint slot shows that name. However, if you check the textures in the properties editor, it instead shows the slot type as the name (e.g. Diffuse Color, or Diffuse Color.003 if you had others before that).

Exact steps for others to reproduce the error
From new startup file:

1. Select the cube, go to edit mode, select all of it with A.
2. Unwrap with U, with basic cube projection.
3. Go to texture paint mode.
4. In slots tab (hit T to bring up side menu), create a new slot. Type is Diffuse Color, named Paint Slot 1. I used UV Color Grid for texture.
5. Go to the texture tab in the properties panel, and observe the texture is name Diffuse Color.

If it is indeed a bug, I intend to take it up as my first task for blender development. Thanks.