It was definitely Myspace in 1996+. Perhaps they didn't start marketing the brand until 1999? I had to register about 50 variants of that domain name in 99' for them using the all so much fun email template with Internic. As to what relationships they had with other companies I have no clue. The HP SureStore's left the dataceter in 2002 or 2003. I met their CEO in 1999 when they were going to launch the drive space feature. As a fun side note they were the only customer I was ever allowed to let into the datacenter.
Some of the domain variants were MyLinuxSpace, MyBSDSpace, MyWindowsSpace and so on...
The founder of MySpace came from XDrive so I assumed XDrive is what is being referred to here. Wikipedia suggests this too, with MySpace starting later as a new company, but it states that the early team were inspired by social features in some other existing software. Maybe that was called MySpace and is what you are talking about. Would love to read more about it
Startups were a little odd back then. Some would be in the process of changes but the employees wouldn't know until they pulled the trigger. I am just guessing but maybe you saw the exit stage of XDrive and I saw the entry of Myspace but there was some hush-hush secret overlap. It certainly wouldn't be the strangest thing I saw back then.