Hello,
I have same fencing same issue in woo commerce checkout page.
1) When i change shipping address form cart page and click on “PROCEED TO CHECKOUT” button to redirect checkout page but when i see shipping method it’s not proper same as cart page shipping method.
Please see screenshot :
This is cart page : https://prnt.sc/viflpi
This is checkout page : https://prnt.sc/vifmu1
Please check both screenshot shipping method why shipping method see different
2) In checkout page i change Shipping address “State” value form drop down, but still not effect on shipping method.
Please check screenshot : https://prnt.sc/vifp6q
Please check and let me know