How are your shoulders feeling? Notice an increase in stability when doing bench?
I definitely feel that my neck & shoulders are under constant tension during the exercise & I feel it's positive for strength & posture.
When doing standing french presses with my triceps bar I'm definitely able to concentrate more on the exercise due to more stamina & muscle control..if that makes sense 💪
About 8 years ago I had a prolapsed disc in my neck C6/C7...was a long recovery
Benches are feeling good too so I think there's been benefits & carry over from the overhead squats.
You do the strong man stuff ..do you do these overhead walks in the video?
As I wrote I'm using it more for overall posture,stamina,strength especially in my upper body.
I've always had a good strong base in my legs just from nature & don't go down easily 🙂
https://www.catalystathletics.com/exercise/482/Overhead-Carry-Overhead-Squat/