Not true near here.Son’s town marks sidewalk, curb, and drive apron. They mark issues and if you don’t fix it they get there own contractor to do it and bill you.The answer is, "it depends." Almost all public sidewalks are in public right of way. They may be in front of your house, in which case you are required to keep them free of snow and debris. However, you are not responsible for repair. If the sidewalk is on private property, typically the municipality has no say so.
And, their tax rate is highest around.