The 24-70mm f4 will serve me well. This lens covers just about everything I need until I jump to my longer lenses. I just couldn't justify the price difference between the F4 and the F2.8. I got the F4 in a kit and saved a lot of money and would have had to pay the full price for the F2.8, big difference.
I used the 24-70mm f/4 at a studio photo shoot with the Z6II I rented. It produced excellent and sharp photos. The only thing was, at times, I could have used a longer focal length than 70mm. That was in a studio setting. I figured, a zoom that goes to 105mm would be just right for the studio shots. Another photographer there had the 24-70mm f/2.8 on his Z6. It's an impressive lens but heavier than the f/4 version.