Just a suggestion:
is it possible instead of an yellow lightning for scripts to show the actual website favicon

Yeah, I think it's possible... I'll try to add an option to let choose what to show before default script (default icon, site icon or nothing).

Great thing seeing you are further developing the extension, getting better beyond imagination Just a question -> Why would I need "current tabs favicon" I need the script's site favicon.
If possible - tell me how to change the name of you extension to be on the far left side of the buttons (even before Adblock), maybe call it A Bookmarklet Manager
Thanks

Why would I need "current tabs favicon"

"currentTab favicon" because scripts are executed in this tab, so why not

I need the script's site favicon

Bookmarklets added with the extension support site favicon, but some are directly executed in the current tab, so they haven't particular favicon.

If possible - tell me how to change the name of you extension to be on the far left side of the buttons (even before Adblock), maybe call it A Bookmarklet Manager

I didn't know that the name impact the order, are you sure of this?
I search a new name for this extension, so maybe a "A..." if you're right.

Yes, It most certainly affects, I'll try