Absolutely, in heaps. The very moment you start Warp, it sends 5 HTTP requests, (1 version check, 1 LLM model list, 3 telemetry events). The former two go to app.warp.dev, the latter 3 go to warpianwzlfqdq.dataplane.rudderstack.com and include a persistent UUID, your operating system and version, Warp version, and the tracked event name and its properties.
All of this happens before you even see the window. After you're done clicking 'No' to all the SaaS nags, you can turn off telemetry in the settings, but for some reason it gets turned back on when you restart the terminal.
While the terminal is running, it calls home whenever you trip one of the events listed in this 7000-line long file: https://github.com/warpdotdev/warp/blob/d0f045c01bacbd845a63.... Besides all the hosts listed earlier, it also makes requests to o540343.ingest.sentry.io.
All in all, a privacy nightmare.