I think you undercut how vast the universe is.
Within our galaxy alone there are roughly 200,000,000,000 stars.
If an advanced civilization visited 10 stars a year, it would still take them twenty billion years to see them all, which is (probably) older then the age of the universe.
You make my point for me. That's just more places for the aforementioned Betelgeusian soda pop bottle to originate from.