_restart affects ServerBrowser behavior

[ScriptedSnark]

Steps to reproduce:

1. Switch to steam_legacy branch
2. Install latest BugfixedHL-Rebased client
3. Launch the game
4. Open server browser
5. Restart the game by changing video options or using _restart console command
6. Open server browser again

Only some peer-2-peer servers can be found after restarting.
Can't be reproduced without BHL-R, so that's why I create issue there.

Disabling engine patches didn't help.

Before restarting:

After: