### Godot version

v4.1.stable.official [970459615]

### System information

Godot v4.1.stable - Windows 10.0.22621 - Vulkan (Forward+) - dedicated NVIDIA GeForce GTX 1660 Ti (NVIDIA; 31.0.15.3598) - AMD Ryzen 7 3700X 8-Core Processor (16 Threads)

### Issue description

is_input_handled() is returning True, even though set_input_as_handled() has not been called.

Example:
`func _input_event(viewport, event, shape_idx):
	print(viewport.is_input_handled())`

Returns 'True', should return 'False'

### Steps to reproduce

1. Create a new project and add a Node2D as the root
2. Add a child Area2D node containing a CollisionShape2D and a Sprite2D
3. Either create the _input_event(viewport, event, shape_idx) or connect _on_input_event(viewport, event, shape_idx)
4. Print viewport.is_input_handled()
5. True is printed.

### Minimal reproduction project

[input_test.zip](https://github.com/godotengine/godot/files/12063748/input_test.zip)

ERR_READ_THREAD_GUARD_V(false);
	return handle_input_locally;
}
void Viewport::set_default_canvas_item_texture_filter(DefaultCanvasItemTextureFilter p_filter) {
	ERR_MAIN_THREAD_GUARD;
	ERR_FAIL_INDEX(p_filter, DEFAULT_CANVAS_ITEM_TEXTURE_FILTER_MAX);
	if (default_canvas_item_texture_filter == p_filter) {
		return;
	}
	default_canvas_item_texture_filter = p_filter;
	switch (default_canvas_item_texture_filter) {
		case DEFAULT_CANVAS_ITEM_TEXTURE_FILTER_NEAREST:
			RS::get_singleton()->viewport_set_default_canvas_item_texture_filter(viewport, RS::CANVAS_ITEM_TEXTURE_FILTER_NEAREST);
			break;
		case DEFAULT_CANVAS_ITEM_TEXTURE_FILTER_LINEAR:
			RS::get_singleton()->viewport_set_default_canvas_item_texture_filter(viewport, RS::CANVAS_ITEM_TEXTURE_FILTER_LINEAR);
			break;
		case DEFAULT_CANVAS_ITEM_TEXTURE_FILTER_LINEAR_WITH_MIPMAPS:
			RS::get_singleton()->viewport_set_default_canvas_item_texture_filter(viewport, RS::CANVAS_ITEM_TEXTURE_FILTER_LINEAR_WITH_MIPMAPS);
			break;
		case DEFAULT_CANVAS_ITEM_TEXTURE_FILTER_NEAREST_WITH_MIPMAPS:
			RS::get_singleton()->viewport_set_default_canvas_item_texture_filter(viewport, RS::CANVAS_ITEM_TEXTURE_FILTER_NEAREST_WITH_MIPMAPS);
			break;
		default: {
		}
	}
}
Viewport::DefaultCanvasItemTextureFilter Viewport::get_default_canvas_item_texture_filter() const {