CSS Break says that box-decoration-break controls what happens when a box has multiple fragments.

It does not say anything about an element which generates multiple boxes, each one with a single fragment. This can happen when an inline element is broken by a block-level descendant.

So my understanding is that if you have (jsfiddle)

span {
  background: linear-gradient(to right, green, yellow);
  border: 10px solid blue;
  padding: 10px;
  line-height: 5em;
}

<span>Lorem ipsum<div></div>Lorem ipsum</span>

then the element styles are assigned to each box independently (according to CSS Display), so each box has it's own border, padding and background, even if box-decoration-break is slice. However, no browser seems to do this:

Should this case be treated like when a box has multiple fragments, i.e. should all boxes share the same margin, border, padding and background? Should only some be shared? None?