I'll try to rephrase:
From my understanding, magento.cron.log is supposed to contain errors from the cron runs and errors only - in other words, no output from successful runs. The output from the LiteMage appears to be a regular output message and should therefore not end up in the error log.
My questions are:
1) Since it still ends up there, is the module logging what it interprets as an error, or is it just a regular output message.
2) If the module logging an error, how can we see what the error is when it's logging a regular output message instead of the error.
3) If it's not an error, is it "overwriting" errors from other modules by forcing regular output to the error log?