As they are now, those filters are useless if most or your fleets are on manual. Except for the "Manual" and "Fleets without mission" filters. And even then...
With most fleets on manual, the manual filter doesn't filter out much. So it's almost like having no filter. As for the "Fleets without a mission" filter, if you're at war and have assigned missions to all of your fleets, but still want to keep an eye on them and manage them through the control center, it won't show any fleet!
The problem would be solved if the filters would instead be based on the fleet templates. It shouldn't be too hard to keep a dynamic list of fleet templates for those filters, because that list already exist in the game data, and is updated as the player add, remove or modify fleet templates.
As a player who usually does not have that many automated fleets (and I suspect I'm not the only one
), the addition of an "Automated fleets" filter would also be very much welcome.