Not only that, but when you load a template (rounds, sounds, layout, etc), the software doesn't retain a "link" to that template, it simply loads the template and replaces the [rounds, sounds, layout, etc] in the current tournament with what is in the template. In other words, it doesn't know that the rounds part of your tournament came from the file "MyRounds.trt".
I understand your issue: you want to modify a specific rounds template (for example), so you load it, work with it for a while, but then when it is time to save the template, you've forgotten which template you were "working with". But the software centers around the tournament, not templates, so I am afraid you are just going to have to remember.