In Ubuntu 20.04, if I change the wallpaper then lock screen and login screen changes automatically. I am happy with this. But When I am not logged in any account then default login screen background is purple with blur which is default. I want to change that background with default blur effect. I have tried this question.
How do I change login screen theme or background in Ubuntu 20.04?
But using this answer, default background is changed but I don't get the blurry background. When I am not logged in, there is changed background with no blur. But if I login then there is the blurry background with the desktop wallpaper. That is not the problem. I want to change the background of login screen when no account is logged in.
How can I change the default login screen background with default blurry effect?
UPD: Some screenshots
When not logged in any account

If I change background according to that question I get no blur when not logged in.
But then if I log in then it is not affected. That is good with that account's background and blur.

I just want to change that background when not logged in, with default blur effect. How can I do that?