Dave,
If you describe some of those flies, and the steps to tie them omitting the specific colors, many fly tyers would assume you're tying a nymph of some kind. Like you said, when fishing through a hole in the ice, you're jigging. That's just a specific fishing action. But when done with a fly rod people call it nymphing. It's all a matter of semantics. For what it's worth, all flies are lures by definition, but not lures are flies.

I've never Ice fished, but since I got into rod building I've wanted to build an Ice rod. For nothing else than they are relative cheap to make.