Sure the hammer is always the first choice of many. If you want an easy way without any surprises, buy the tool, you will be happy owning it because it works on other guns and is easy to take to the range.
I think your tool would be nice for the fine tuning of the sight, just a 1/16, 1/8 turn of the handle at a time could zero in the sight. A lot easier and faster than tapping it like I do.
But, I like beating on things with a hammer.