Yes, this would be a vast improvement. Naïve data consumers that only consider the name tag would show nothing, which would be an improvement over the current situation where the same impasses are brought up for the debate. It would also encourage the use of name:xx and xxx_name tags for data consumers that want a more complete display.
The same situation exists for features that have no obvious primary language such as Atlantic Ocean as noted above, and there too, the obvious solution is no name tag.
The fact that we’ve not come to this very obvious conclusion is a testament to the fact that (a) people care very much that a label is rendered on osm-carto for for features they expect to see and (b) we lack a fundamental ability to or interest in making that decision as a project. OSMF’s decision about where to put the RU/UA boundaries with respect to Crimea was far more controversial than would be a decision to omit the name as a general policy for disputed features that are at an unresolvable impasse.