I think that was because the other suggestion said that you'd never see unnamed pets though. That one was less appealing because then if someone did want to look through the unnamed pets - for example, to buy a colored Creatu a little cheaper than Ranch prices, as I've seen people doing lately - then, well.. Too bad for you, bucko.
An option to turn them off is perfect though. It provides a little more convenience while name-searching, but it doesn't go too far. Might even help ease the load the ACS puts on the servers, since most of the results people get end up being dead pets.
/ramble
... Ohlard. I was going to ask why you think my support is so good, but. I think I might have just answered my own question. xD Darn it with the habit of always going on and on about suggestions. Seems like I can never just give a simple 'support'.