After watching the video, I am still a bit confused as to whether the property is Public Property or Private Property. Let me say that it cannot be both. So, the very nice LEO may be correct or he may be incorrect depending on whether the city owns that particular GROUND (property) and has an ordinance that requires the landowner to maintain it, or in the alternative, the homeowner owns that GROUND and the city has a right-of-way and/or easement to the property.
You need to determine ownership and to do this, you just need to look up the public accessible land records for that 'ground'. You could go to the public clerks office and ask if it's ok to MD the curb-strip in front of this home at this address [I know you wouldn't do this] and have them give you a NO if they have a personal agenda against MDing in front of their house, or you could look at the subdivision plat to determine this yourself. Or, you could guess that the LEO actually knew the particular ownership of that strip of GROUND [which most assume] and ask if it's OK to MD, and allow them to inject their personal agenda, or you could know your rights by researching it. You can probably pull up the subdivision maps online (another topic).
By the way, the ownership of the curb strip, or the sidewalk area, may be owned by the city (public property) or may be owned by the homeowner (private property) even in the same city. So do not just assume that because the sidewalk is 'public property' in one subdivision...it is 'public property' in all subdivisions within the same city. Do your research to know your rights!
Also, do not assume that easement and right-of-way mean the same thing.
Thank you for posting the video.