There is a server browser.
The only hosted servers which are persistent and have admins are the ones you create as a community experience. Those have a server browser with server name, ping, number of players, game mode, map name, and modifier tags. Those are all searchable attributes.
The matchmake servers are instanced, as far as I know, not persistent, don't have admins, and are not searchable due to it being impractical. If you don't like matchmake servers, seach for and join a community experience.
The benefit of matchmake servers is that they can move the demanded game mode and crossplay option to wherever the players are currently at. You can't do that if the server is persistent. That benefit comes with drawbacks.
It's like asking for a redsec or gauntlet server browser. It's not a request that makes sense in the context.
