Short answer
Permit drawings are built to get city approval. Architectural plans usually include broader design intent, detailing, coordination, and decision-making. Sometimes you need both; sometimes permit drawings are plenty.
Permit drawings answer the city
They show enough scope, code information, dimensions, and details for review. Their job is approval, not necessarily design excellence.
Architectural plans answer the project
They can include design exploration, assemblies, materials, consultant coordination, and documentation that helps the builder price and execute the work.
Do not buy poetry when you need a stamp
If the design is already solved and the city needs clean documents, a permit drawing path can be the saner buy.