An "eye dialect" is basically a literary device to indicate that a character speaks with an accent. See various examples such as in Huckleberry Finn. (My impression is that "eye dialects" are sometimes exaggerated in the spelling to give the impression of a distinctive pronunciation, rather than intended to actually accurately represent the way someone speaks, but more to highlight differences. The more exaggerated, the more likely the label "eye dialect" will be used, although of course various degrees of distinctive spelling can be found in literary works.)
That seems somewhat different from what you're trying to do from how you've previously described your project. It's not completely different, and you could call it that if you want, though.
I'm not sure what "pronunciation respelling" would mean (at least not precisely).
As I think I've answered for other questions, what you're doing is art, not science, so there's no need to be constrained by technical terminology, just use whatever seems most convenient for your readers.
