We've been discussing some of this in DM's but, since I've been cultivating a thorough production timeline for Evangelion, we thought I might be able to contribute some thoughts.
Firstly, the 7th July 1995 date is irrelevant and impossible. The first two episodes were first screened 22nd-23rd July 1995 at the Gainamatsuri Gainax Festival and completely lacked OP's and ED's because they literally didn't exist at the time.
Secondly, it's not a broadcast recording due to the lack of furigana. The combination of logos at the start of the Evangelion part (Star Child/Ing/Movic) are the ones present in the original Japanese VHS release from 3rd February 1996 (at the earliest). With clarification from FreakyFilmFan4ever, the next episode preview is also the 30 second video-version, and when it concludes there is a titlecard introducing the 15 second TV version before it cuts to the next clip.
Thirdly, ADV licensed Evangelion very quickly, starting in August 1996. The western releases, due to being based on the OA versions instead of waiting for the NPCs, would eventually outpace the Japanese releases, making fansubbing and bootlegging unecessary. That said, until ADV started selling in August, there would have been a window for bootleg fansubs to be distributed. This is a copy of one of those tapes, created after February 1996 and made redundant before the end of the year. (Eva bootlegging is covered in this article: https://www.polygon.com/2019/6/20/18684 ... dv-netflix
In short, I think everything on the tape is sourced from multiple places and years, the Evangelion part probably procured during or after 1996, and the tape itself is some kind of initiation for new members of the Asunaro Club.
Speaking of which, I found the Asunaro Club: https://dennisamith.com/2019/04/18/the- ... beginning/https://dennisamith.com/2019/04/19/the- ... ia-part-2/
It was a club at Fresno State in Lemoore, California, and this person was a member. You may or may not be able to contact him to know more about the club itseelf.