Folding is not respected when using `org_move_subtree_up` or `org_move_subtree_down`

Describe the bug

When moving headlines with those bindings the foldings are not respected

Steps to reproduce

Using the next file as a base:

* heading 1
** subheading 2
** subheading 3
*** subsubheading 1
    text
**** subsubsubheading1
    text

• If you unfold the first level and use org_move_subtree_up on the subheading 3, it will move the headline but it will fold everything so that you only see heading 1
• If you show the folds below subheading 3 (but not enough to see subsubsubheading1) and use org_move_subtree_down, then all folds are open:

Expected behavior

Folds are respected when moving headlines around

Emacs functionality

No response

Minimal init.lua

local tmp_dir = vim.env.TMPDIR or vim.env.TMP or vim.env.TEMP or "/tmp"
local nvim_root = tmp_dir .. "/nvim_orgmode"
local lazy_root = nvim_root .. "/lazy"
local lazypath = lazy_root .. "/lazy.nvim"

for _, name in ipairs({ "config", "data", "state", "cache" }) do
	vim.env[("XDG_%s_HOME"):format(name:upper())] = nvim_root .. "/" .. name
end

-- Install lazy.nvim if not already installed
if not vim.loop.fs_stat(lazypath) then
	vim.fn.system({
		"git",
		"clone",
		"--filter=blob:none",
		"https://github.com/folke/lazy.nvim.git",
		"--branch=stable", -- latest stable release
		lazypath,
	})
end
vim.opt.rtp:prepend(lazypath)

require("lazy").setup({
	{
		"nvim-orgmode/orgmode",
		event = "VeryLazy",
		ft = { "org" },
		config = function()
			require("orgmode").setup({
				org_agenda_files = {
					"*.org",
				},
			})
		end,
	},
}, {
	root = lazy_root,
	lockfile = nvim_root .. "/lazy.json",
	install = {
		missing = false,
	},
})

require("lazy").sync({
	wait = true,
	show = false,
})

Screenshots and recordings

No response

OS / Distro

Linux

Neovim version/commit

0.10.4

Additional context

No response

Start by locating the org_move_subtree_up and org_move_subtree_down entry points and reproduce the behavior with the org file shown in the issue. Inspect how each binding moves headlines and preserves folding state. Done means the existing folds remain unchanged after moving subheading 3 up or down in both reported scenarios.