I would disagree as it was billed as a re-imagining of the GITS movie
And Oshii was not involved on arise to my knowlage, he did the old GITS film, which was a different take on the manga which is made by Masamune Shirow
(better IMO lol, I do like the manga for context but its a little more... Child-like... than the Oshii movie.)
The old movie made no mention of the Logicoma (thank god) And the tone of the major from it to the arise series is quite striking, even the dynamic between her and Aramaki in the arise series is changed
Also togaisa is in the arise series while in the old movie it was his first operation, or rather he was still a rookie unsure of his place on the team.
Also would not put the new movie and the arise series in two separate categories as they are the same thing, the movie is just the last part of the story. I was not a fan of it.... Missed the tone and point imo. Even though I have all of them on blueray and digitally on Amazon lol