What is it with some of these anal authority types
Around here we don't worry about that kind of foolishness except in rare situations. We have a lot of old city lots and blocks where the lots are only 25 or 30 or 40 feet wide. If someone buys two or more of those to build a house or other structure, the only requirement is that they stay out of the set backs on the far sides of the overall parcel. There is no need to rename it or replat it or whatever. Mr. Propertyowner simply owns Lots 6,7,8 and 9 and adheres to the appropriate setbacks on the front line, back line and the two distant side lines. In some cases, a city will have a side line setback requirement that states something like "10 feet or 10 percent of the total tract frontage, whichever is greater". So if the combined tract is now 150 feet, the side line setback is 15 feet instead of the original 10 feet.
Tell the trouble-making authorities to......
I don't have any problem doing any such thing.
The rules the city has adopted are the rules for everyone.
If I am working in a new city and I'm wondering about a replat, I simply go to the county records and see how it was done the last time. Chances are, the rules are still the same and my work will be accepted in the same manner as the last work.
Send invoice, get paid.