Cable pull thru are the best for when you cannot remove the bolt to use a traditional rod to clean chamber to muzzle.
I use one in my Savage 99, but I have bore guide for the crown if I have to go muzzle to chamber if I cannot do it the traditional way.
But I got a 1 PC stainless rod, multi piece rods, cable pull thru, bore snakes. They all got their pros and cons.
I find cable pull thru retain their curved shape, so you ate fishing a curved cable bore weight down the bore, to pull thru. Then you have to try and grip a slippery cable.And you cannot really do the back and forth scrub.
No a pull through is not the best way...
Simply insert your quality cleaning rod with on brush on it down the muzzle into the action. Thread a new brush on it with a little solvent and pull it out of the bore. Repeat a few times, then do it with a dry patch... it may be a slow process but it is better than a pull through.