The only thing that leaves is an update check
Your search terms, file names, document contents and usage statistics are never sent anywhere. The only outbound traffic is one request a day asking whether a newer version exists, and even that sends nothing — it only receives a version number. You can turn it off under ⋮ More, and with it off there is genuinely no traffic at all. The interface is bound to 127.0.0.1, so no other PC on your network can open it. The one exception is “Search from your phone” (off by default): when on, only phones you paired yourself on the same Wi‑Fi can search this PC, with sealed requests — still not through the internet or our servers.