box-decoration-break offers the options: "slice" and "clone". Neither of those allows for cloning the decoration as it applies at the point where the break occurs, e.g. the background-color of a nested <span> element within whose text the break occurs.
A proposal has been made for the semantically identical tts:inlineAreaBreak style attribute in TTML2 to add a new keyword "cloneMostNested" to fulfil this requirement - the equivalent non-Camel case value in CSS would likely be "clone-most-nested".
Please consider adding "clone-most-nested" with this semantic.