It gives more of the hunter and pet feeling that you were going for! It really makes it feel like you're playing two champions instead of one!

If you had the name Quinn and Valor, it'd have the partnership between Quinn and Valor seem neater!

No, no, no, no. Quinn is good as it is. Lets keep it that way. If they wanted to make that name, they shouldve done with Sejuani and Nunu, It wouldnt make sense now. I feel like Quinn is the champion that needs to be underlined and not valor.

It made her unique, however.

Bring it back.

I kinda like Quinn and Valor, it had a more unique feel to it.

I like Quinn. Anyway, nobody was going to call her Quinn and Valor.

I prefer Quinn and Valor, though I can see why sticking with just Quinn works.

People make the argument that certain other champions should be renamed. I disagree however as Quinn's kit is different. It uses Valor as opposed to being just an accessory.

For example: Swain and Beautrice. The bird isn't significant, it is simply an accessory except when firing his Q spell. In addition, when transformed, he has multiple birds attacking. There is no real uniqueness to that.
Mounted champions like Nunu and Sejuani: Also not significant. Their mounts are part of the champion as opposed to separate entities. They're always attached to each other so they're really just one entity.

On the other hand, Riot may want to just stick with Quinn to avoid confusion/increase clarity (In the end, you're still only playing "one" champion). So while I prefer Q&V, it's very likely going to end up just Quinn based on this.