Yes, once all overdue credit cards are paid off, being blacklisted for dishonesty will not be automatically eliminated.

Specifically, according to what I understand, once a bank takes an overdue customer to court and lists them as a dishonest person, such records will be retained in the court system for a considerable period of time. The following is a detailed explanation:

1. First of all, being sued by a bank and listed as a dishonest person by the court may be due to serious or long-term overdue repayment behavior, causing the bank to take legal measures to resolve the dispute. In this case, the court, as an independent judicial institution, will record and retain relevant information to protect the rights and interests of creditors.

2. Secondly, this record of dishonesty will not be automatically eliminated after a certain period of time. Generally speaking, only if the debtor takes the initiative to take corresponding legal procedures, such as applying for compulsory execution, can the record of breach of trust be lifted. Otherwise, the record will remain in the court system and have an impact on the individual's credit assessment and credit borrowing.

3. Generally speaking, records of late repayment that lead to a blacklist of dishonesty will not be automatically eliminated. The debtor needs to take the initiative to take legal measures, negotiate with creditors and seek ways to remove the breach of trust record.

Extended information: Records of breach of trust have a significant impact on personal credit and economic activities. The construction of a credit system has become one of the important measures to promote the healthy development of the market economy and enhance social credit awareness. In recent years, governments across China have introduced a number of measures to encourage trustworthy behavior and punish dishonesty. The retention time and degree of impact of breach of trust records vary depending on the specific circumstances, but generally speaking, the impact of breach of trust records on individuals and enterprises is relatively serious.

Summary: After all overdue credit cards are paid off, the record of being blacklisted for dishonesty will not be automatically eliminated. Such records will continue to exist in the court system unless appropriate legal proceedings are taken to remove the breach of trust. Records of dishonesty have a great impact on personal credit evaluation and credit lending. Therefore, it is recommended that debtors handle overdue issues promptly and properly to avoid being listed as a dishonest person.

The above is an answer based on what I know. Please consult a professional organization or legal person based on your actual situation to obtain accurate and targeted advice.