""I'm working in a timeline that has the same source audio throughout""
Are you saying that the clip you analyzed and reduced noise in is reused over and over in this project?
I suppose what I am trying to ask, is when you say several edits; are you reusing the very same clip material in the browser and essentaily making a copy of it each time you resuse it?
If that was the case, then bring the clip into another sequence, sent to STP , analyze, etc and then copy that clip back into the browser to be used over and over again with noise reduction completed.
Am I even close?