This was the top reason that made us (Segmed.ai) give up on PostgreSQL FTS -- our folks require a very exact count of matches for medical conditions that are present in 20M reports. And doing COUNT() in PostgreSQL was crazy, crazy slow. If your extension could do simple len(invertedindex[word]) that would already be a great improvement.
ELK has it immediately, but at a cost of being one more thing to maintain, and the whole Logstash thing is clunky. I'd love to use FTS inside of PostgreSQL.