Thanks, EXIE. Yes, it would help if mingot put a link to it in the RNG help thread.
I tried doing another seed with frame 3 and it was a total fail again. However, it had a time close to the end of the hour 19:57. I wonder if the problem isn't just when the hour rolls over at the end of the day, like dafinal said, but whenever the clock rolls around at the top of an hour. So I'm trying a frame of three again but at a far earlier time with no chance of the clock rolling over to a new hour.