All your recipes are heavy on oils/ fats/ butters aside from the coconut and jojoba oil, so I'm not sure why you are blaming those oils. A few drops is nothing, plenty of curlies and long hairs here deep treat with a tablespoon or more.
No it is not usually necessary to wash a commercial deep treatment out, most are formulated to wash away fairly clean with water only. Deep conditioners contain the right balance of fatty alcohols and cationic surfactants to act as emulsifiers for the oils present in the formula, *some* can take additions, depending on the ingredients.
But if you make up DIY treatments by adding an oil rich substance to two other oil rich substances then yes you may need to shampoo or co-wash away the excess, particularly if you don't consider the formula when you make up a blend. Generally lightweight low oil conditioners with plenty of cationic surfactants and fatty alcohols will take a certain amount of natural oils or butters, heavy conditioners cannot.
1. Everyday Shea is heavy on shea butter and other oils, shea can build up
"Aqueous Shea Leaf (Butyrospermum parkii) Extract, Handcrafted Shea (Butyrospermum parkii) Butter, Cetearyl Alcohol (and) Behentrimonium Chloride, Emulsifying Wax, Palm Stearic Acid, Lavender Essential Oil, Phenoxyethanol, Potassium Sorbate, Citric Acid."
Shea Butter Moisturizing Conditioner - Conditioner - EverydayShea
2. You don't identify the base so difficult to comment, either too much honey or your hair doesn't like egg. Honey and egg both have weak cleansing properties which might explain the dryness when used together
3. Egg yolks and avocado are both packed with fats and dense wholefoods can be difficult to wash out of the hair. I suspect you massively overloaded the conditioner base with so many oily additions, FIN is particularly low in emulsifiers
"Water, Cetearyl Alcohol, Distearoylethyl Hydroxyethylmonium Methosulfate, Cocos Nucifera Oil, Orbignya Oleifera Seed Oil, Citric Acid, Cetyl Esters, Sodium Benzoate, Parfum, Hydroxypropyl Guar, Schinziophyton Rautanenii Kernel Oil, Salicylic Acid, Mel, Pentaclethra Macroloba Seed Oil, Tocopherol."
Rainforest Moisture Conditioner | Bath & Body Care | The Body Shop
"Water, cetyl stearyl alcohol*, brassica oleifera*, cannabis sativa*, meadowfoam (limnanthes alba) seed oil*, cymbopogon citrates* (lemongrass), citrus x paradisi* (grapefruit), zingiber officinale*(ginger), melaleuca alternifolia*, cetrimonium chloride*, limonene°"
Faith in Nature Hemp & Meadowfoam Conditioner