There are three possible answers that I can think of: 1) The act of scrubbing the records in the application process for LAST is quite rigorous and that can remove crap in the groove of new records. I actually clean the records thoroughly before applying the LAST because I don't want to be rubbing hard with abrasive crap in the groove.
2) The second thing is that, after treatment, the records feel smoother (lower friction) when running any kind of brush against the groove, this less abrasive surface might reduce production of noise.
3) The lower friction means lower build up static electricity when the stylus tracks the groove reducing both attraction of dust and the noise generated by static discharge jostling the stylus.