Note: Some people are getting LEs when placing the coat rack down. I haven't pinpointed the cause yet, but it only happens on certain lots and the lots are different for each person.
Updates:
New base game compatible mod with two options:
You cannot use the coat rack rules (other than Allow Hats Indoors) at the same time with the individual interaction, because it didn't seem like something people would use. It won't cause any problems, just that the hat will be removed again if any of the Remove options are selected.
I may add more rules (and objects) at a later date if people need them, but for now I'm happy with where it's at.
This mod uses custom tuning but does override the 3 swatch object definitions of the coat rack. It felt silly to clone the coat just to add custom tuning, because I wasn't touching the textures or mesh, so that's why I chose to override it this way. It will be compatible with No Fade and pretty much any other mod though, unless the creator is specifically overriding the object definitions. Note: It seems LittleMsSam's Change Outfit via Closets, Coat Rack & Wardrobe is overriding these files as well, so it's a conflict.