I recently purchased LogviewPlus and have been using it for a couple of weeks now. 
Just wanted to point out a few issues and suggest some solution.

It could be better if the users get asked before closing a log file from the workspace - if the log file doesn't exist. This usually happens when we open a workspace or, if the view is refreshed.  Much better solution: a setting (could be workspace-specific) to control auto-closing of non-existent log files.
I have a running log file that gets renamed when my app exists and if open LogviewPlus before I run my app, LogviewPlus removes the log file from the workspace. It is annoying to re-add the log file every time this happens - especially when you have multiple log files (for different app instances) in the workspace and have friendly-names assigned (in LogviewPlus) to these files .

Thanks.