So, I've been using TortoiseSVN for a few months now.
The series of 'confirm' and 'report success' dialogues that it continually shows has been starting to wear very thin over the last few weeks.
I finally had enough, just this very minute, so I went to see if there was a setting to get rid of the confounded things.
And what do you know... there is! Appropriately enough it's called the “Close windows automatically“ setting.
Thank you tortoise, you wonderful little piece of goodness.