So yes, the paper AND Black Ink type (like the standard Epson driver) must be correct. IOW, Luster paper with Matt ink; no.
You'll only be able to use those papers by Epson shown much like how if you use 3rd party papers with the standard print driver, you have to pick a paper that's 'close' to those supplied.
And yes, Printer (not Application) must manage color, like the standard print driver.