node type not getting in search template
I took a look into the code and it seems to be that is not implemented. So maybe it's a bug or just mistake in the documentation.

At least, you can reach your goal with the hook_node_search_result or even with template_preprocess_search_result if you don't want create a module.

For information, the $info_split for node is filled by node_search_execute that call the hook said above.