One billion times yes! I am playing a PC, not the entire race!
I never said you were trying to play the entire race, but if you are just going to accept any concept as long as it "makes a good PC" then there is literally nothing off the table. The love child of Starscream and Fluttershy would make a good PC. A Giant-Blooded, Half Hell Drake, Half Vampire makes a good PC. President John F. Kennedy makes a good PC.
That isn't a standard, it is an aggressive lack of a standard. After all, it is impossible to ever define, include, or exclude any concept from "making a good PC". I don't want to tell people how to have fun, but I do recognize a lot of people in the this discussion for halflings are people from previous discussions who were also for curated worlds and tighter mythologies. Who would often say "there is no place for X in my world." I'm willing to argue for the inclusion of most things as one-offs, though the more absurd obviously the less serious it makes the entire game, but I do respect the effort it takes to do build a world and make it work. Tolkien didn't add Hobbits just because he felt like it, there was a purpose.
And enthusiastically saying that any possible concept is acceptable as long as it "makes a good PC" is the far opposite of that approach, It is the approach of things like GURPS or RIFTS were there is no binding thread between the various groups, factions, and races. They exist because they exist and therefore anything is possible and it doesn't feel weighted or realisitic. It is just a mash-up.