Keep in mind almost every light weight factory I've seen never comes in at what they say.
Second I would
build a custom I love my light weight.
Absolutely nothing come close to as light as the Pierce titanium action. If building a light weight oz matter so that is you best option.
Also check out the swfa 2-10 it's only 10oz I believe. I have one on a howa mini I lightened and it's a pretty decent little scope for most hunting applications.
Also think about having twisted barrel Marty I believe is his name do the fluting. Guy is well known for his fluting and being able to take weight off thinner barrels others may not want to.
I did Pierce action, ti action screws. Salmon river solutions ti slab brake.
Then I added weight with stuff I wanted and or needed still came in very light. My idea was make it light as possible and add things like thumbhole stock, bipod, and camera to it and still be insanely light. I have one short action and long.