Knots did beat Dallas in the last three years they were both on the air; and it still had strong ratings holding its own opposite LA Law (the shows had a weirdly symbiotic relationship, neither one really cut into the audience of the other)
It did have that Thursday night slot. it disappeared very quickly, which was odd given that its competition was an ABC news show, and LA Law in its death throes. It lasted all of five or six weeks, not the shortest CBS run of the season though (that would be South of Sunset starring Glenn Frey; gone after a single episode). Angel Falls was replaced on the schedule by Second Chances, a serialized crime soap from the duo of Lechowick and Latham, the same ones from Knots landing and Homefront. That show lasted for 10 episodes, but was doomed because its sets were destroyed in the early 1994 LA earthquake, and two of its actresses (Connie Sellecca and Megan Follows) were pregnant. CBS refused to pay up more to replace the sets or work around the pregnancies so the show was axed (it also co-starred Jennifer Lopez and had a recurring part for Michelle Phillips)
As for Titans, in 2000, NBC doomed that by ripping it out of its Wednesday slot, and moving it to Monday, refusing to advertise very much about its new time. Aaron spelling had been hatching an idea that could have given it some new juice. Before NBC dropped the axe, he was in talks with both Joan Collins and Donna Mills to join the show. Collins was actually going to reprise the role of Alexis. The very idea of three of the big 80s soap queens, Victoria, Joan, and Donna, on the same show is an intensely intriguing possibility, and I wish it had happened.