This second paragraph in total looks very nice. It even shows how to use the "suggest" feature standalone. However, whether or not it may be embedded and executed in the actual search, we do not know. (Note: we're still in operation "2d) search")
You can combine the suggester with a query. You can use the same term or even use different words for suggestion and query. Let's see an example:
GET /docs/doc/_search
{
"query": {
"match": {"title": "liitle neemo"}
},