I built a roundwood woodshed last year of similar scope, to try out approaches.
I followed ideas from
https://www.youtube.com/@KrisHarbour
on how to layout joints for curving pieces; it worked fairly well.
I cut lap joints at the tops of the main posts, with natural forks as knee braces.
On a different thread I read an expert writing that knee braces are not necessary, but they certainly stiffened my structure.
The post ends are under a metal roof so I did not attempt preservation beyond linseed oil.
I used timbers end-to-end through the concrete block holes, and recycled cabling, to use the weight of the firewood load to anchor the structure and roof to the ground.
It has come through its first winter fine.
My next project is actually a honeysuckle arbour.
cheers Doug