Randomize not very random?

[Zoran]

Thanks @Zoran! I had been using the File/Open (F3) method of auto-loading the file. By instead using Media/Tape/Open (F7) and then LOAD "" , I'm now seeing different results when I run it (and have moved RANDOMIZE back to the top to just be run once).
I hadn't really used that menu option until today.

Okay, it's nice you located the problem. Don't forget it's still not solved, as you of course want it to behave correctly even when loaded in an emulator with quick load.
I hope what Boriel and myself wrote is enough for you to workaround this problem -- in short, do not call randomize until you get some user input.