I have not tried Lobb, but have used Cleverley, James Taylor, and G & G.
I have similar issues with flat feet and have used Cleverley. They put in arch supports for me and I cannot recommend Cleverley enough. The shoes fit like gloves and are light. The supports do not pinch or feel odd in any way.
After one month with my new Cleverley shoes, I returned and ordered two more pairs. I am now a customer for life and will return next month to pick up a nice...