Audio problem: Before the famous attack by a crop spraying aircraft, Cary Grant is set down in the middle of nowhere from a Greyhound Scenicruiser. Another bus, a Flxible BR-29, also stops briefly. The soundtrack of the Scenicruiser's engine is re-used for the Flxible.
Audio problem: Near the end of the movie when Cary Grant says, "Come along Mrs. Thornhill." If you read lips he's actually saying, "That's it." (02:15:45)
Audio problem: When Thornhill and Kendall reunite after the shooting, they are obviously on a soundstage and not on location in the wilderness. There is absolutely no background noise, which is impossible in the outdoors: leaves rustling, birds calling, water trickling, wind gusting, etc. prevent the complete silence depicted by the movie. The quality of the actors' voices also sounds like indoors rather than an open space. (01:46:30)
Audio problem: When Thornhill and Kendal are having dinner on the train, at one point Kendal says "I never discuss love on an empty stomach". Watch her lips and you'll see that Evas Marie-Saint is actually saying "I never make love on an empty stomach". The scene was clearly redubbed.
Answer: More than likely, they felt that Roger would be dead and they would not be found out. The fact that he survives their DUI plot and returns to the house with the police only serves to makes him look more suspicious and guilty. It's to move the plot along, nothing more.
ChiChi
The bigger plot hole is, if Van Dam really believes Roger is Kaplan, why would he think that Roger would bring the police and go through the trouble of preparing "Mrs. Kaplan" to make the police think he's crazy? If Roger really was a spy, he doesn't need help from the police and would have just disappeared instead of retracing his steps. So if Van Dam anticipated the actions taken by Roger, he must believe at some level that Roger is telling the truth and would have looked deeper into it.