You are right. Near side and far side are non-standard term as per AWS A2.4. The right term is arrow side and other side welding symbol. However, I have seen people who working with EN standards, using this term.
The Arrow Side Welding Symbol, also known as the “near side” or “front side” symbol, is used to indicate that a weld is to be placed on the side of the joint that the arrow is pointing to. This is important for welders to understand which side of the joint needs to be welded.
Reference:
https://learnweldingsymbols.com/mastering-arrow-side-other-side-welding-symbols/