Meh. Lime mortar absorbs and releases moisture. IRC "Roman" lime concrete is much the same.

Don't get me wrong, I'm a huge fan, but that kind of thing isn't compatible with modern insulation. You end up with damp and mould issues in the walls.

Sure it works great in uninsulated stuff though. But people and governments want every room in a building to be insulated nowadays. The whole one warm room, the rest of the building is cold and you'd better wear a three piece suit or heavy wool jumper thing, is abhorrent to our spoiled western arses.

Also: the Romans didn't build their buildings that high. AFAIK Lime concrete has lower tensile and compressive strength, which is an issue with high rise buildings.