Yes, each idea is randomized and is inspired by your company or project description and the prompt. We do not store the ideas you generate to display them to others. In fact they are only saved locally in your browser until you decide to save them by signing up.
You might get similar ideas for the same exact prompt but the true value starts when you select ideas and decided to move forward with them. If you feel like ideas are becoming too similar try starting over by changing the project description slightly and click "start over".