When using Xeloxi's "look the other way" perk, the crime spread does not show up on the enemy planet when you create a new trade route and end the turn. The crime numbers on the enemy planet do not change. Instead, this is required to view the increased crime AFTER a trade route is established:
0. Set up the new trade route. The crime number on the enemy planet does not increase like it is supposed to.
1. Take OFF the perk "look the other way". At this point, the UI will not refresh, and your colonies will still show the elevated crime that the "look the other way" perk provides. Essentially, it is looking like nothing has happened despite the policy removal.
2. Save and immediately reload (ending the turn also works, but this progresses the game). This will refresh YOUR planets' UI to show the newly reduced crime levels since the policy was removed.
3. Immediately re-add the "look the other way" policy. This will immediately show increased crime in YOUR colonies, bringing the numbers back up to where they were before the save/reload, which is expected and correct.
4. NOW end your turn. You will notice the enemy planet that got the new trade route with you will increase its crime rate after you end your turn. The planet's crime rate should now display accurately.
This process needs to be repeated every time new trade routes are established.
Ideally, the crime rates would show an increase as soon as the trade route is established, rather than require this save/reload process to update the numbers.