Not leading enemies to their house is the basic precaution they need to take if they don't want someone to come to their house to rob or kill them. At the very least, they should lose the person through the city before going home.
In the future, when they only had one pathway, the success of this basic action would be based on skill, observation, and luck. They would need to rely on excellent observation to identify someone following them, and they would need skillful maneuvering and navigation through the city to lose them.
Sometimes they were lucky enough to find the person following them, and sometimes they missed a detail because they were unlucky.
Other times, they were lucky enough to encounter an opportunity such as a surge of a crowd of people, which helped them lose their pursuer. But sometimes, they weren't so lucky.
However, this time, Luck had very little to do with it because they had the pathway of the telepath to help them.