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Random players can work with proper servers too, and many games just do that. The problem with server browsers, or user hosted servers are/were arbitrary rules enforced by the admin of that server. It's what killed Black Ops 1 on the PC.
The benefit of the server browsers is that there were tons of positive gaming communities that competed around making the best and friendliest server possible in the early 2000's. I fondly remember playing Call of Duty as a tween with other community members that were adults and learned how to have fun, manage disagreements, and deal with problematic people without screaming profanities and raging about other peoples…
Matchmaking lobbies killed a lot of the fun to me