Yes. When applying for a job title, you only need to submit a patent certificate to prove that you are the inventor of the patent.
Since it was terminated without paying the annual fee, the patent should have received a patent certificate. For the inventor, all matters in the process of technology research and development, application document submission and review have been completed.
The impact of patent validity is mainly reflected in the economic aspect. Whether to pay annual fees is decided by the patentee and has nothing to do with the inventor.