It's always going to be difficult to do much different with a Terminator movie that hasn't been done before, which is why seeing an evil machine hunting key humans and a good Terminator protecting them and the Connor family being involved is entirely to be expected and completely forgivable. It's just the staple of the series by now and trying to reinvent the wheel wouldn't have worked when the story is ostensibly about reframing Sarah Connor's involvement.
But there's more than just brand familiarity here, because the idea of a superhero (by another name, but that's what she is) escorting an important individual who is key to the end of the world as they know it while being pursued by nefarious agents of death is basically the plot of Logan. Like, beat for beat the same. It even seems to be set in a sort of sun-bleached desert wasteland near-future for the most part. It can't be accidental.
It also doesn't help that this feels an awful lot like the Sarah Connor Chronicles story, which fans are bound to pick up on too.