It's possible they will get a grant for repairs.
Scotland and England do have different laws so I can't be sure.
We lived in a listed building in a conservation area, and to us all it meant was that we had restrictions placed on what we could do to the property and any work done had to be approved in advance then checked after and amended at our own cost if it "wasn't in keeping". We didn't get any help with maintenance.
Not complaining - we knew this when we moved in and we lived in a beautiful setting. And the extension on our cottage wasn't listed (built before listing was applied) so we could do what we wanted to that. Not a problem as it was at the back and invisible to anyone else, but it meant we could have a satellite dish
We wouldn't have been able to otherwise.
Some conservation areas have restrictions things as minor as door colour. But I understand some American communities have similar restrictions without even the excuse of heritage.