(undo-redo) doesn't seem to be defined in stock Emacs, but undo-tree defines (undo-tree-redo), which does the needful.
My comment was more about lamenting the defaults in comparison with vim's, but it's true that it doesn't take much configuration to make it much better.
undo-only doesn't have a keybind which makes it inconvient to use many times in a row. You could define one yourself I suppose, but at that point why not just get undo-tree?
Are you aware of the `undo-only` (and `undo-redo`) functions? They make it a breeze to navigate even the most complex undo history.