StrmCkr has made a great list of the different variants of these short X-Chain patterns
here (as a reply to one of your own earlier posts), including the grouped types. You'll see that the terms Grouped Skyscraper and Grouped 2-String Kite were used in that discussion, and not just by Leren.
I think those terms are quite standard, at least on this forum. Leren might remember that I also protested them like a year ago, but I've since changed my mind. I now think they're accurate and descriptive terms, and thank Leren for setting me straight!
ERs, on the other hand, are usually grouped anyway (in the hinge box) and the non-grouped variant is the special case there. For example, in Hodoku the non-grouped variants are not even reported as ERs by default, but it's an option. ERs could have group nodes in two boxes, actually.