The scope is real-time analog signal and the logic analyzer is sampled digital signal. Which means if you have "glitches" of any kind that trigger the digital logic, you will see them as "real" signals. Also it means you have to be mindful of digital "artifacts".

Did you try lowering the sample rate from 24MHz to say, 1MHz? And lowering the samples from 100M to say 10M? Also make sure your grounds are very good on the Logic Analyzer. BTW, I have a Logic device from Saleae - awesome tool - haven't really have any issues with it.