it's a very good ad-on especially the one click update,but it just need one thing that is not changing the saved name of the bookmark

Addresses that differ only in hash are not updated.

Do what is told, but a big issue is that it rewrites the custom text in the stored bookmark name, so not much use...

Excellent addon! I've got a lot of webcomics and other serial reading bookmarks, and this does a fine job of updating the bookmark with one button press. Or two, if there are more than one that might match - a little popup with choices appears, with the bookmark titles. Even works on tapas.io strips with their awful URLs!
One feature request: for Mac, the notification to say it's done is a little overexcitable - either ditching it or an option for turning that off would be icing on the cake.