The Hunted in Team Fortress Classic Build 881 is much closer to the one that appears in the released version. There are a few differences, such as the sniper tower overlooking the side alley not having a gate to block off non-Assassins and Assassin-only doors not having messages stating that they're for Assassins only. The Civilian still uses a Crowbar instead of the Umbrella too.
Instead of doing a full run, I've done a quick walkthrough that hits the major beats.
00:44 Assassin door 1
01:00 Different items in rubble area side room
1:37 Sniper tower with no grate
02:21 Assassin door 2
02:58 Assassin door 3
03:21 Assassin door 4