Update 2:
There's a very common, and equally false, distinction floating around that there are two forms of polytheism: hard and soft polytheism. Let me explain why this distinction is invalid.
First, there is not even a solid definition of soft polytheism. The more common ones tend to be (1) belief that gods in one culture may be the same as in another culture but with a different name, (2) belief that the gods are all facets of one ultimate God, (3) belief that the gods are symbolic embodiments of nature and/or Jungian archetypes, or (4) belief that everything, including the god, reduces to one source (monism). Still, let's address all four.
(1) Gods in one culture may be the same as in another culture but with a different name. This is literally just called “polytheism.” There is nothing “hard” or “soft” about it, it is by definition polytheism. Even if there is just one big pantheon where gods are given different names by different cultures, there's still more than one god, otherwise we get to (2). Egyptians, Greeks, Romans… many, many polytheistic societies accepted this. So (1) is not “soft polytheism,” it's just polytheism.
(2) The gods are all facets of one ultimate God. This is probably the most frustrating, and appears to require a basic crash course in the laws of logic and language. Polytheism is more than one god, and monotheism is one god. This is the meaning of “poly” and “mono.” Logic comes in because if there is more than one god, there cannot also only be one god, A cannot be Non-A. The idea that all gods reduce to one god contradicts there being many gods, there's only the illusion of many. This is closer to the Emanationism seen in paths like Kabbalah, which is quite far from polytheism. So (2) is not “soft polytheism” or polytheism at all, it is monotheism.
(3) The gods are symbolic embodiments of nature and/or Jungian archetypes. In other words there are not many gods, in fact there are no gods, just nature and the human psyche, which is known as atheism. Looking back to (2) we can see that “many gods exist” and “no gods exist” contradict. To reduce polytheism to symbolic LARPing more or less is beyond insulting, which makes (3) the worst offender imo. So (3) is not “soft polytheism” or polytheism at all, it is atheism.
(4) The belief that everything, including the gods, reduces to or stems from one source (monism). Originally I had labeled this as not polytheism, but I've been corrected in that polytheistic monism is an active and valid path. It seems many here distinguish between “the gods” and “the source,” so there is not, in fact, “one god” as in (2). This means (4) is indeed polytheism, but you may have already caught the label of “polytheistic monism.” Again this is not “soft polytheism” because, like (1), it's just a form of polytheism, but with the addition of monism. The monism part doesn't change the polytheistic part to make it “softer,” so once again this is not soft polytheism, just polytheistic monism.
There is no such thing as “soft polytheism” here, just polytheism, monotheism, atheism, and polytheistic monism.