I think this would just lead to people nuzzling more for less valid reasons and get noticed "as" the nuzzler. From time to time you can even see people posting in the threads themselves "+floof" or "You get a nuzzle from me", it would expand and overall everyone would have a general idea of who's doing what.
Would this really be for the better? I'm not quite certain.
When the Floof o meter is left as is right now, nuzzling is more about the one receiving the nuzzle rather than who gives it, even though I can understand some might want to know who they're getting it from. But the thing is it shouldn't really matter where these nuzzles come from, whether you want to pay back the favour or just be nicer. A nuzzle is a nuzzle given to you for being around here doing what you apparently do.
I think I lean more towards the anonymous nuzzling that we have right now. If we are going to do present comparisons, a gift can be appreciated no matter who it's from, it's gratitude a selfish less action of gratitude to you as the user. In all honesty I think a function like this can be enjoyed in a better manner if it's not as much about who did what.