Is the meaning of "Subhana Rabbi al-A'la" and "Subhana Rabbi al-Azim" "My Lord, the Most High/the Magnificent, is far removed from all imperfection"?

The meaning of tasbih (glorifying Allah) is to declare Him free and absolve Him of all imperfections, and from having any equal, partner, opponent, or peer. The origin of the word is from "sabah," which means remoteness. Thus, tasbih is to remove imperfect attributes from Allah and declare Him free from anything that does not befit Him.