From a linguistic point of view, pronouns are a specific type of, well, nouns.

That is, they are titles for objects.

Just like names, pronouns are ways of communicating you're referring to a specific 'thing' or person.
Commonly, these appear in three types:
Referring to yourself(1st person)
The person you're talking to(2nd person)
Or someone you are talking about(3rd person)

An issue you may have encountered when trying to talk about a couple different people, is confusion as to which word is referring to whom.

For an example:She(a) said that her sister(b) liked plants, and that she(a or b?) wanted to make a garden for her(a or b?).

Neo-pronouns solve this issue, giving clarity to communication by introducing more 3rd person nouns into circulation.

English is one of a few languages that bind a person's 3rd person reference words to a concept of (physical/mental) gender.

However this linguistic association is arbitrary and,
It could as easily refer to a person's tribe or city they belong to, or be as unique as one's own name.

If we treat pronouns as a part of one's name; that is, as something to refer to that person in conversation then, (while this might take a bit of adjustment) a whole new level of personal individuality and precise communication is unlocked.

Personally, I like the sound of the neo-pronouns ti/tir/tis/tiself.
Inspiration btw is backwards 'it'.

These would be used like the following:
Ti grew plants in tir garden.
Atleast, I think the garden was tis, and ti did it tiself.

Admittedly, I doubt anybody would take the time and effort to refer to me this way, so;

In conclusion, I'm happy being refered to by any set of pronouns.
Just, do try to be consistent so your communication is less confusing, thank you.

:D

- EagleP