This indicates that resumes created by the same model may have an advantage over those created by other model, so I suppose technically you may have a small advantage if an insider tells you the resume parsing tool is powered by Gemini as opposed to the other models.
My broader discomfort is that we are still learning about model biases while human biases are arguably better understood, and I don't like the ethics of rejecting a person based on criteria I don't fully understand.