No, this is incorrect if wake turbulence is not applicable. Same runway separation is provided if it happens to be a factor within a specific width as prescribed by the .65.
In our case, a 15 degree offset is needed when rotating in order to fulfill the necessary requirements if two planes depart at the same time, which is entirely fine both here and in real life. There are a bunch of other separation applications depending on the type of setup and parallel width being used, but it’d be too complicated to get into it for you guys. For now, either a 15 degree offset with SFO-style departures, a climb to XXXX as instructed by the controller, and/or instructions from radar should be amongst your top considerations.
@AarkonTV: As for your question, there are a variety of possible explanations as to why this may be. You’re more than welcome to bring it up to me if there doesn’t appear to be something plausible and I’ll discuss it with the controller.