I'd expect the "clear" button to clear the query in the search bar, as well, on an intuitive level.

I like the lazy-loading. We can do that easily via WebSocket connections. Send out a query to relays, setup a subscription, then sort the responses as they trickle in.

We have to make sure we have a limit on the number of search results returned, and pagination logic, or else we'll overwhelm the browser and network with an endless stream of matching events.