I don’t see how a blur would help anything at all, but it might hurt the situation.
that’s the case for most things one could do (such as, make a cup of tea, or walk around a tree seven times). they simply don’t make sense to do. and it is hard to explain why those things don’t make sense… because they don’t make sense, there are no arguments to be made.
anything a blur might somehow accomplish, if followed by the right operations, is done better with other operations that actually move you towards the solution.
basically, I consider the suggestion to be unfounded. it is tedious to argue against something that hasn’t been argued for.
morphological closing does that. morph. ops aren’t blurs though. a blur doesn’t quite do that, and not even completely. and a median blur doesn’t even remotely do what you want.
I lack the words to express how much I want to dissuade you from continuing this line of thought.
I just realized, you posted a sketch of your real situation. you should always try to present real data or come close to it.
morph ops work on grayscale data and binary data (just black and white). that’s different from the illustration which just has (unfilled) circles.