### 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(0);
	return mesh_lod_threshold;
}
void Viewport::set_use_occlusion_culling(bool p_use_occlusion_culling) {
	ERR_MAIN_THREAD_GUARD;
	if (use_occlusion_culling == p_use_occlusion_culling) {
		return;
	}
	use_occlusion_culling = p_use_occlusion_culling;
	RS::get_singleton()->viewport_set_use_occlusion_culling(viewport, p_use_occlusion_culling);
	notify_property_list_changed();
}
bool Viewport::is_using_occlusion_culling() const {
	ERR_READ_THREAD_GUARD_V(false);
	return use_occlusion_culling;
}
void Viewport::set_debug_draw(DebugDraw p_debug_draw) {
	ERR_MAIN_THREAD_GUARD;
	debug_draw = p_debug_draw;
	RS::get_singleton()->viewport_set_debug_draw(viewport, RS::ViewportDebugDraw(p_debug_draw));
}
Viewport::DebugDraw Viewport::get_debug_draw() const {
	ERR_READ_THREAD_GUARD_V(DEBUG_DRAW_DISABLED);
	return debug_draw;
}
int Viewport::get_render_info(RenderInfoType p_type, RenderInfo p_info) {