### 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(SDF_SCALE_100_PERCENT);
	return sdf_scale;
}
Transform2D Viewport::get_screen_transform() const {
	ERR_READ_THREAD_GUARD_V(Transform2D());
	return get_screen_transform_internal();
}
Transform2D Viewport::get_screen_transform_internal(bool p_absolute_position) const {
	ERR_READ_THREAD_GUARD_V(Transform2D());
	return get_final_transform();
}
void Viewport::update_mouse_cursor_state() {
	
	Window *base_window = get_base_window();
	if (base_window) {
		base_window->update_mouse_cursor_state();
	}
}
void Viewport::set_canvas_cull_mask(uint32_t p_canvas_cull_mask) {
	ERR_MAIN_THREAD_GUARD;
	canvas_cull_mask = p_canvas_cull_mask;
	RenderingServer::get_singleton()->viewport_set_canvas_cull_mask(viewport, canvas_cull_mask);
}
uint32_t Viewport::get_canvas_cull_mask() const {
	ERR_READ_THREAD_GUARD_V(0);
	return canvas_cull_mask;
}
void Viewport::set_canvas_cull_mask_bit(uint32_t p_layer, bool p_enable) {