Depends.

Like I think I heard the original Meaning of Anthro was like InuGirls or Neckos...basically humans with animal features. Most people dont think about that anymore and completely separate Half Human from anthro, and merged it with Furry, which we associate with The Animal characters with human bodies.

I think they are more or less interchangeable.
Though, if I HAD to separate them, I'd go like this.
Anthros are animals with human characteristics. Be that body shape, features or sentience.
A Furry refers to the OC and the person behind it.
So, Furrys and Anthros can be the same thing, but also not all Furrys are Anthros and not all Anthros are technically Furries.
Also, a lot of this boils down differently from person to person.
That's my two cents on it anyway. ^,..,^

Anthro is short for anthromorphic, ascribing human features and qualities to non-human beings and objects. While a furry is just an enthusiast for animal characters with human characteristics, in particular a person who dresses up in costume as such a character. You might want to just ask them what they mean by it just to be clear.

Anthro is LEG

Furry is FOX

FOUR FOOTERS!!!

Anthro is like furry but anything, more broad. Like the brave little toaster was an anthropomorphized toaster. But realistically you'd have to ask them directly because they probably have some dumb personal nitpick of some kind (i.e. I'm not a furry, I just like drawing nothing but anthropomorphic foxes).

Everybody has their own definitions. Like when anime fans and furries argue over what the definition of futa is. It's always up to the community and the individual.

Technically?
Anthropomorphic means that something has human characteristics. When applied to animals you get anything from the bunnies in Watership Down to the animal students in Beastars.
As far as popular usage goes, though, furries tend to specifically use "anthro" to mean "humanoid animal" - two legs, two arms, upright spine, but covered in fur & with an animal head, a tail and ears. (Distinguished from "feral" which is used for stuff like animals that can talk such as Watership Down, Wolfwalkers, Farthing Wood etc)

As for your actual question... My guess would be that they changed one kink and forgot the other? Probably easier to ask them than guess.

anthro is more 'non human with human traits' furry is a subclass of that