> I always acknowledge ChatGPT in my writing and never cite it.
These are not the uses with which I am familiar—as Fomite says in a sibling comment, I am used to referring to citing personal communications; but, if you are using "cite" to mean only "produce as a reproducible testament to truth," and "source" only as "something that reproducibly demonstrates truth," which is a distinction whose value I can acknowledge making even if it's not the one I am used to, then your argument makes more sense to me.
These are not the uses with which I am familiar—as Fomite says in a sibling comment, I am used to referring to citing personal communications; but, if you are using "cite" to mean only "produce as a reproducible testament to truth," and "source" only as "something that reproducibly demonstrates truth," which is a distinction whose value I can acknowledge making even if it's not the one I am used to, then your argument makes more sense to me.