bug: Hint window does not open for keys mapped to <C-w>

[Crdr0122]

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• I have read all the which-key.nvim docs
• I have updated the plugin to the latest version before submitting this issue
• I have searched the existing issues of which-key.nvim
• I have searched the existing issues of plugins related to this issue

Neovim version (nvim -v)

0.10.3

Operating system/version

Linux 6.6.58 #1-NixOSx86_64 GNU/Linux

Describe the bug

After mapping a key to (in my case it is "s") using nnoremap s <C-w> , said key cannot open hint window.
Adding this key or <C-w> into triggers manually does not open it either.

If I use proxy = "<C-w>" to achieve this, the window can open.
But since the preset builtin does not contain all the bindings, keybindings such as sH do not work unless I manually add whichkey.add{{"<C-w>H"}} into the whichkey.

Steps To Reproduce

1. Add nnoremap s <C-w> or vim.keymap.set("n", "s", "<C-w>") into config file
2. Press s, observe that ^W appears in right bottom corner but hint window does not pop up
3. The same thing happens even if

{ "s",      mode = { "x", "n" } },
{ "<C-w>",  mode = { "n", "x" } },

is added into triggers

Expected Behavior

I expect that the hint window will pop up, especially if I add the manual triggers for the keys.
Or that proxy can proxy my key to <C-w> completely and allow bindings not listed in the preset to be directly used as well.

Health

No response

Log

No response

Repro

vim.keymap.set("n", "s", "<C-w>")
vim.env.LAZY_STDPATH = ".repro"
load(vim.fn.system("curl -s https://raw.githubusercontent.com/folke/lazy.nvim/main/bootstrap.lua"))()

require("lazy.minit").repro({
  spec = {
    {
      "folke/which-key.nvim",
      opts = {
        triggers = {
          { "<auto>", mode = "nixsotc" },
          { "s",      mode = "nixsotc" },
          { "s",      mode = { "x", "n" } },
          { "<C-w>",  mode = { "n", "x" } },
          { "<C-w>",  mode = "nixsotc" },
        }
      },
    },
  }
})