I dunno, I don't think I've ever seen anything white in an old industrial setting. It would look good, but I think it might offset the theme a bit.
You know, since you're getting the patina solution anyway, why not go for a rusted look as well? Ok like....the outside is going to look "generally" rusted, right? Like the entire thing was rusting, with heavier spots in some places and stuff. So on the inside, you could have it look like there were some water leaks in there. You could spray that aging solution into a cup or something until you collected enough, then pour a little bit down the places (or use a paintbrush) that you'd want to make it look like it was leaking water.
And you know, if you do that copper pipe thing we talked about that would go absolutely perfectly with it