Yes, "Guilty Gear" alone should refer to the first game while "Guilty Gear (series)" refers to the franchise as a whole. Similar applies to other games/series that share a name. You can create a tag for Xrd if it's missing.
someone changed tags to guilty gear strive, this video is solely guilty gear Xrd, but idk if the "guilty gear" tag under "guilty gear series" refers to guilty gear 1, xrd has no tag
The originator of the Sadaoka Wave.
It's bit repulsing that this usually gets reuploaded in putrid quality. I recently found the (likely) source file via the Sina Video servers. You can have it: https://files.catbox.moe/jzm3cj.mp4
The original upload page hadn't been archived, so I pieced the metadata through the following:
- The [Niconico reupload](https://www.nicovideo.jp/watch/sm17528565) lists the original URL as well as the author
- The upload date has been taken from a personal archived copy, where the metadata lists encoded/tagged date as 2011-05-13 23:13:11 UTC