Nope. The buttons down there don't keep track of which page is open right now. Adding that logic plus getting the information through to the frontend whether to even show a reset button and such would be ugly. It wouldn't be impossible, but it would be a ton of work for a fairly niche feature request (you are actually the first plugin author ever to express an interest in nuking the configuration back to defaults).
Haven't tested this yet, but just a shot in the dark, try:
That should nuke the existing plugin settings, making stuff automatically fall back to the defaults. I'm just not sure whether I check for empty paths currently and would deny such a call. If so, that could be changed.