I am fairly certain the Russians would have recognized that an Apollo capsule landing in their ocean would be a good deal different than a spy plane flying over their country. At the very least they would have known from their own experiance that a reentering capsule would make possibly the worst spy platform ever made.
Consider also that the two space programs were basically all about propoganda. Both countries were more or less on their best behaviour.
That flight was during a period when the Soviet's were terrified of a US first strike.
Not long after this flight was the Able Archer 83 exercise, which is probably the only time since the Cuban Missile crisis that we got close to an actual nuclear war.
Consider also that the two space programs were basically all about propoganda. Both countries were more or less on their best behaviour.