TiVo Search currently uses channel numbers and call-signs exclusively. You will not find a channel or network logo anywhere in TiVo Search.
Do you prefer callsigns like KPIXDT? Or would you rather TiVo display SD and HD network logos instead? If you want to see small channel logos, where would you like to see them? And/or do you want them to replace just the call sign, or the channel number and the call sign?
Below is the current screen and one possible example.
Current TiVo press screenshot:
Two altered shots with channel logos: