I think your TiVo is restarting and either not completing the boot cycle, or rebooting repeatedly - that's a fault.
Your TV has an auto-detect option enabled on its HDMI inputs, and every time the TiVo starts up, your TV is switching to the HDMI connection being used by the TiVo.
If the TiVo is live and you're paying for a subscription, then your box should be replaced to stop this happening. If you're not paying for a TV subscription, then simply disconnect the box from the mains power supply.
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