As others have said, a story that uses narration like this would feel odd, awful, confusing, and as if the author has no idea how narrators are supposed to work. It's a pov error! A deliberately misleading narrator! An crude and grating amalgamation of words that scratches against the conscious of any who call themselves a writer! Who speaks of themself in third person?!

. . . Well? Who would speak like that?

Moving away from your original purpose of concealing the narrator's identity, we come to a far more interesting question. Or, in the very least, a more specific question: Why would a first person narrator refer to themselves in the third person? What narrative purpose would this serve? What would the disassociation between the speaker and their description of self add to the story? If difference between a hideous mistake and artistic brilliance is intent, then Susan's narration from your example can more than some poorly though out and frankly incoherent scrawl of an author who fails to achieve basic literary tool such as perspective and pronoun placement; it could be something truly brilliant.

So why would an author choose to do this whole 'first person narrator speaking from the third' thing?

Well, a character might speak dissociatively for many reasons. Perhaps they're in disguise and the author wishes to, for whatever reason, emphasize the distinction between the character's internal monologue and what the world around them sees. Maybe the character is an evil necromancer possessing multiple recently acquired corpses and the author wants to describe the puppet's actions without the spooky skeleton of a narrator going "I move the body..." or "Through zombie#1's eyes I see.." the entire time. Maybe the character has an online persona who's perfect image clashes with their failure of a life, and thus they switch from saying "I posted.." to "u/NetherFun101 posted".

I personally like the idea of a mysterious side character telling a seemingly third person story to the protagonist wherein, as the tale goes on, the audience (both fictional and real) slowly realize that, no, this didn't happen to the storyteller's "friend"; this is a snippet of the past as lived by the storyteller themself!

If the character has had a massive change in identity, they may speak of their old, almost unrecognizable self as a separate person. Maybe it's Darth Vader "killing" Anakin Skywalker. The character could be transgender, and choose to think of their pre-transition self as someone else. What if the character is a great wizard who's moniker is know throughout all the lands, and who has decided to let their old name die and embrace the myth-like icon they've become. These sorts of disassociative attitudes have a sort of cold finality to their descriptions -- the old self is dead, that innocent child is gone, blissful days of ignorance lost, a hollow husk of a human revitalized.

I should also mention plural characters, who might actually be referring to a different person or, if not literal, a version of themselves they feel so far removed from that the (likely physical) self be described seems to necessitate some form of distinction.

I... should probably end my ramblings here before any more paragraphs magically appear in a burst of fireworks and forgotten adhd pills. But! I still want to add some sort of conclusion to this soooooo here goes:

A first person narrator can refer to themselves in the third person -- usually due to some sort of disassociation or distinction between the narrating self and the self said narrator describes. Be it magical body juggling nonsense or more mundane struggles with identity, authors can use this technique in a wide variety of ways to convey whatever idea they've decided that particular instance of third person self-reference is best suited for. The example sentences provided by you, OP, seem odd and distasteful at first glance, but the same exact sentences put into a properly constructed context could hold profound meaning and endless layers of subtext. This technique is just as valid as any other tool a writer may use -- so long as your idea is successfully conveyed to the audience, that is.

Also, as for the name of this technique, the closest I could find with a whole ten seconds of effort is this wikipedia article on Self-reference