I believe this is a direct sequel to T1 & T2?
That is also my understanding.
Though, where the hell did John Connor go, and why is the T-800 not a bucket of melted metal.
Angsty Teen John worked in T2. Though. T3's John Connor didn't work either.
As for the SJW bit? Yeah.
Sarah Connor or Ripley didn't need to make jokes at the expense of men to be fucking badass. They are badass characters you can root for and gender really doesn't play into WHY they are strong protagonists.
Compare that to the recent Batwoman trailer on CW? Dear God its as bad or worse than the Gillette commercial.