I see what's happening now. I think this is a general operational problem that can happen in the tinycore extension system. I am using the optional install method for all extensions. I also have backup turned on. It looks like the backup of the system at shutdown saves the state of the system as it relates to the extensions that were loaded at the time. When the system is started back up it restores the system (unless norestore is used) to a state that may be incompatible with the installation of new extensions. I found this to be the case with audacity, gimp2 and Mplayer-2.
This presents an interesting challenge. It looks like the only safe way to use optional install when it involves several extensions is to not use the backup system and restore.
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edit: Correction, it's audacious, asunder, gimp2, Mplayer2, opera, flash and emelfm(1&2) that I have had "combinatorial" extension loading problems with. This occurred over several days of loading extensions with many backup and restores.