Well, lets look at Fairy type Pokemon. You will see they are mostly specially oriented, with users such as Clefable, Xerneas, Tapu Lele, Tapu Fini, Alolan Ninetales, and more using Moonblast and Dazzling Gleam. There are very few physical Fairies, such as Tapu Bulu, Tapu Koko, Zacian and its Crowned form, and Mimikyu. This is likely due to the fact that Fairies usually rely on magic and spells and usually don't use their fists. Fairies in popular culture are usually too small to cause the slightest of pain anyway, with their 1 cm wide fists.
Now looking at Poison types. Special Poison attackers include Tentacruel, Venusaur, Gengar, Nihilego, Eternatus, Naganadel, Amoonguss, Salazzle, Toxtricity, and Roserade. Meanwhile notable Physical Poison types include Drapion, Toxicroak, Weezing, Scolipede, Garbodor, and Nidoking. That isn't as much as the special attackers, therefore Poison is stronger specially. Now, this one is tricky. There are poisonous stingers and fangs used by scorpions and some snakes, but there are also toxic darts used by humans. However, the most common way of poison damage is by something like intoxicated water or wine. This isn't people or animals making physical contact with each other. Also most physical poison, like bites and stings from scorpions, wasps, spiders, snakes, and ants usually doesn't kill people. Many animals are poisonous but the Cone snail, Blue-ringed octopus, Box jelly, Black widow, King cobra, and Sydney funnel-web are the first things that come to mind mainly because their poison is deadly, while other animals don't have such powerful toxins. Just like Pokémon, this is a comparatively small pool of creatures.
Hope this helps!