I believe I am experiencing the same exact issue. Did Kaseya ever resolve this for you?
wow that's crazy! now you guys got me checking my scheduler.
We had the issue with the results not being there a day or so later in the last exec column. It ended up being because we were using a sample script in these case (like the Reboot script), and had the option in System to reload sample scripts daily.
I ran a test using Kaseya to push out a script that writes a few test files, then had a vbscript email me the files as well as Kaseya, and had kaseya write to procedure logs too. everything seems to be matching up without much delay. I wonder if you're missing something from the update. I had a huge issue where for some reason my updates (kaseya updates) weren't replacing the new files it was downloading. One way to tell is by checking for .new files on your kserver, if they're there then you're updates aren't being properly processed.
Kaseya downloads the update as .new and then overwrite's the files it's replacing by dropping the .new extension leaving the full file with proper extension.