Erel, I have discovered the reason for my confusion. Apparently Log(File.DirDefaultExternal) does not go to my tablet's SD card but goes to an 8G area of my tablets internal memory that it considers "external". It goes here regardless of whether the SD card is inserted or not. I know this because that's where my Counts file is ending up, and I can find it using the tablet's file manager and Windows Explorer when USB Storage is turned on.
When I specify DirInternal I can't find the file anywhere using the tablet's file manager or Windows Explorer, but it's somewhere, because I can use the Log command to display the results of PutSimple and GetSimple within the application. I believe, in this case, it is going to that area that is accessible only to the application and for the life of that application.
So the reason for my confusion is because I thought my tablet's internal memory was Internal when in reality its internal memory is External. I'm glad I cleared that up (in my own mind anyway [insert smiley face here])
Thanks for your guidance. It's amazing how you can solve most of our problems with one sentence or less.