Server browser. Why not?

Back in the day, the servers were hosted, rented, persistent, at a specific IP address, and the result on the server browser was pretty static.

Now, all we have that is relatively persistent is hosted community experiences. AKA Portal. If you join a match of Hardpoint (for example) using the server browser (which does exist!), you'll join a game that will keep the players together round after round. The server will have a name. A ping. A mode listed. A map listed.

The server browser does exist. You just need to start using it.

Matchmake servers are not persistent. You can't browse for them. Their role changes based o  demand.  Even if you could search for and have a list of them, by the time you joined one, its role, mode, and map may already have changed by that point. That would make that server browser useless. Therefore it doesn't exist.

It's like asking for a redsec or gauntlet server browser. It doesn't make sense technically.

Oh, I am using the portal/community/server browser, I can't use anything else...

Back in the day, the "Official Dice Servers" were also listed on the server browser. You were also able to rent your own servers.

It's simply a design choice not to have persistent servers and instead rely on matchmaking like Call of Duty.

Matchmake servers are not persistent

That's a choice, not a given. There's no technical reason why matches can't be persistent. It's purely a money issue. They don't want persistent servers, because they want to run the minimum amount of instances. The less instances you need to host, the less you need to pay your cloud service provider.

The server browser does exist. You just need to start using it.

Battlefield Studios made a critical mistake when they released portal. They made the portal servers 30hz instead of 60hz or higher. That means that portal is a noticeably inferior experience. This is also a money issue. That Global Game Quota? A money issue as well. As long as they keep choosing the cheapest option, they shouldn't be surprised that the community is not having it.