hover on them and you will see why

Yes, I know about the hover. Still doesn't explain the need for such a big space and why the icons need their own "container" (so to speak)

Also, why lose all that space to the right of the text?
As a proof of concept, I did this patch (for LTR only) using existing variables.
It is even more important when the text is longer than en-GB

diff --git a/administrator/templates/atum/scss/blocks/_toolbar.scss b/administrator/templates/atum/scss/blocks/_toolbar.scss
index 24fe50a..14bcc87 100644
--- a/administrator/templates/atum/scss/blocks/_toolbar.scss
+++ b/administrator/templates/atum/scss/blocks/_toolbar.scss
@@ -53,5 +53,5 @@
 
   .btn {
-    padding: $input-btn-padding-y-sm-submenu $input-btn-padding-x-sm-submenu;
+    padding: $input-btn-padding-y-sm-submenu $badge-padding-x $input-btn-padding-y-sm-submenu $input-btn-padding-x-sm-submenu;
     font-size: 1rem;
     line-height: $atum-toolbar-line-height;
@@ -71,5 +71,5 @@
       width: 2.438rem;
       height: 100%;
-      margin: $input-btn-padding-y-sm-submenu $input-btn-submenu-icon-distance $input-btn-padding-y-sm-submenu -#{$input-btn-padding-x-sm-submenu};
+      margin: $input-btn-padding-y-sm-submenu $input-btn-padding-y-sm-submenu $input-btn-padding-y-sm-submenu -#{$input-btn-padding-x-sm-submenu};
       line-height: $atum-toolbar-line-height;
       color: var(--atum-text-dark);

before patch

after patch

That patch would break the actions button, but easy to correct separately

Personally speaking it looks too busy and on small buttons like "help" it looks unbalanced. Also all other buttons would need to be updated as well such as "clear". The only real way to have a balanced view would be to abandon the two tone highlighting

??

This is fixed with #28607