I take 'absent' in the simplest and most rational of its meanings: not present
OK, that 100% implies existence. If a student is marked "not present" then that student MUST exist.
It may include "exists, but not there", also "not paying attention/not caring", "existed in the past, now dead", or "non-existent".
So, if you are saying it could mean any of those things, then you aren't saying anything and that position is already defined.
That's exactly the problem that absentheism attempts to address: Atheism assumes a certain kind of deity - invisible, all-powerful, all-knowing, omnipresent, entirely good and then debunks the notion that a deity like that may exist. But there are two problems with this, to wit:
Atheism, is no definition, takes on defining any deity. Absentheism is not taking it on, in facts, it's simply making something unclear even less clear by refusing to say what it means. It could literally mean "god exists but isn't here or doesn't exist or we don't know what god is to even figure it out". That's not addressing any problem, it's simply mashing together several well defined positions.
- What about deities that are known to have existed and have been worshiped as such - Caesar Augustus, Aten, the Sun-Disc, or the emperor of Ethiopia Haile Selassie I (the Jah/Messiah of the Rastafarian movement)?
For example, Ceasar is known to have existed as a person. That is a fact. The worship portion, the divinity, was specifically tied to existence of other gods and heaven, being related in some way to those gods. Without them, you get no divinity of Ceasar. His divinity is NOT a fact as there is no evidence of those gods or spirit world.
Aten was the disc of the sun depicted as a falcon headed man. Unless you show me a falcon headed man, I fail to see the relevance. Ditto for Selassie. Objects that DO exist were co-opted into a belief system of the unprovable and invisible deities. So what?
- What if a deity that exists leaves no physical footprint in the universe, doesn't communicate or interact directly with humans? What if said entity escapes any known definition that humans so far have come up with? How would we even collect evidence that it exists?
Then all you can say is that there no evidence for that deity and no way to get any evidence, which is already a well defined position and the functional equivalent of "no deity at all".