It probably comes down to this:
Any antenna has a certain radiation pattern. It may be a figure eight like a dipole, a unidirectional pattern like a Yagi - it could be mostly vertically or horizontally polarized, etc.
Since the antenna doesn't know the difference between unwanted noise and real desired radio signals, it cannot differentiate between the two. So it will pick up local power line or house noise in the neighborhood depending on it's pattern and proximity.
Now, what can upset a good antenna is feedline radiation from an unbalanced feedline that does not cancel and creates new and unwanted lobes. These unwanted lobes may be closer to noise in the house, more vertically polarized to pick up powerline noise, etc.
The bottom line is if one of these baluns can effectively reduce feedline radiation by choking off shield currents or helping to balance the feedline, in a partuclar situation, it may reduce noise by reducing unwanted lobes. However, if the antenna already has a good feedline match and balance, it will probably have little effect.
Much will depend on where the unwanted noise is coming from and its proximity. You just have to try it an see. It's like rotating a Yagi on 6 or 10M and seeing the S meter go up and down based on where the local noise is coming from. The feedline radiation is more fixed and it will be pot luck of what you hear.
Do whatever it takes to reduce feedline radiation and beam the antenna pattern away from the noise source and everything will be optimized.
Personally, I always use a balun on all of my Yagis as well as dipoles. The Yagi baluns are usually 4:1 step down transformer type using a primary and secondary at the feedpoint. (actually unbalanced to balanced) The higher band dipoles use a simple bunch of coax turns on a 6" PVC pipe (choke)and placed at the feed point. The lower band dipoles use a hank of coax (choke) at the feed point.
Usually the higher the frequency and more directive the antenna (Yagi or a stack) the more important and critical the balun requirement.
BTW, a fully modulated KW carrier of AM can smoke one of those W2AU ferrite core baluns. Also, nearby lightning strikes can permanently saturate the core. If the swr suddenly soars, you will know...
T