I was sued in an economic case, but the court didn't arrange and hold a hearing, and then the case went away. Will this situation be recorded?

The so-called criminal record mainly refers to being investigated for responsibility or being found illegal in criminal proceedings, such as the "criminal record" we often say. The economic disputes you mentioned should belong to the category of civil and commercial affairs. No trial, no result, no criminal record. But in the court system, you should be able to find the record of your prosecution, which won't have any practical impact.