This has already been explained in the Zohar on the subject of the alphabet. This idea is not just an analogy but a depiction of the reality that all the visible letters of The Torah are a representation of 22 supernal lights and these lights illuminate the letters lending sanctity to a Torah scroll, Tefillin, Mezuzot and Kitvei Kodesh. Accordingly, the more sanctity invested into those writings, the greater the influence and shine are imparted via the letters. Therefore, a Sefer Torah with one mistake invalidates the whole preventing the ability to influence and draw holiness to the congregation during its reading.
Hebrew Letters as Living Channels of Divine Power
Derech Etz Chayim (Ramchal) 1:7