My partner is keto for health reasons, and I am vegan for moral reasons. We both want to eat the same meal, and not have me spend yet another hour and a half in the kitchen. But it is near impossible to get keto recipes that aren't hideous, never mind keto and vegan recipes at all. I've baked with almond flour before, trying all sorts of brands, mixing with coconut flour, adding xanthan gum, adding vital wheat gluten, you name it. And nothing has come out right. The closest I've come with it, is a pancake that was nice and brown on the outside. It even held up after flipping. But the inside was like eating porridge. Coconut flour, on the other hand? I tried a recipe for a keto coconut flour & butter cake, which turned out fabulously. I tried a bite while my partner ate the rest, it was good stuff. I even subbed the butter for Flora, with no averse results. Question How do you actually cook the inside of an almond flour cake or pancake? It always ends up as hot porridge. Wheat (pan)cakes? Coconut flour cakes? They've turned out just fine, but almond flour is always hideous, even with extra fine flour. My vegan pancakes are delicious. Subbing one large egg for one flaxseed meal "egg" is just fine. Even sugar-free, by replacing the 1tbsp golden syrup with 2tbsp erythritol. But subbing the wheat flour for almond flour and coconut flour? I would only use those pancakes for making compost. 
IMHO, This is not going to happen. There are simply not enough carb-free ingredients in the plant world, and not enough vegetarian ingredients in the protein world. In that recipe, eggs have been used to provide the binding power which would ordinarily come from flour. But ordinary vegan egg substitutes (silken tofu, applesauce) assume that the eggs aren't needed for binding, because there are so many vegan binders out there; and the few that do provide binding (aquafaba, maybe banana) provide it through starches. The one cohesion-providing, gel-supporting ingredient I could think of would be xanthan gum, which is a carbohydrate but powerful in small amounts. The fact that I'm leaping straight to "industrially cultured bacterial slime" should give you an impression of what sorts of things you'll end up eating if you try to satisfy both of your diets simultaneously. As for almond flour: yeah, it provides taste and bulking and nothing else. The starch in other flours (including coconut flour) are responsible for hydrating into a gel and trapping gas, making porridge into pancakes. You need something to do that... and the things we normally use for that are either carbs or egg albumen. If you want to not spend extra time in the kitchen preparing a second dinner, cook extra and freeze leftovers. 