There should not be a single confederate flag, monument, remembrance, anything of any sort in NY state. As far as I am aware, not a single Civil War battle happened in NY, and the deaths of New Yorkers during the war were at the hands of confederate soldiers.
If you are a confederate sympathizer in 2021, get the heck out of NY. Dunno how you found your way up here, but it’s time to go back south.
Hey what’s wrong with celebrating the brilliance and entrepreneurship of your slave owning ancestors while longing for
the good ole days, when
White Made Right?? 
Some aspects of the culture of "the old South" became part of the culture of the rural parts of the entire Appalachian chain. Delaware County (NY) is one of the 14 southern tier counties of New York State that represent the northern end of Appalachia.
A lot of its elder stock came from the more southerly parts of the chain. In the 20th century part of that was during the Great Depression, when there was a lot of migration up through Pennsylvania and into the southern tier of NY, but some of it was earlier and from situational labor requirements.
For example when the Catskills-NYC water reservoir idea was hatched, to bring pure water from the headwaters of the Delaware River southward to NYC through a gravity-fed string of reservoirs and an aqueduct, they seized land up here by eminent domain and started drowning valley towns to implement the project. It was before the era of bulldozers and so forth, so a lot of the work hauling rubble after the dynamite blasts was done by mules. The population of the county at the time was mostly white, but a masonry company in Virginia was contracted and brought up a lot of skilled Black mule hands because they knew a whole lot more about using mules for work past just plowing fields.
The same projects also involved precision stonework for aquaduct construction, and for that a lot of Italian immigrants were hired in NYC right off the boat and brought up to the mountains of Delaware and Sullivan counties to turn cathedral-building skills into aquaduct construction, working their way south towards Westchester and NYC and settling into the hill towns as they did it.
Anyway the culture of the immigrants who stuck then became part of the culture of the counties around here, and the post-Depression immigrants from southern Appalachia also had kinfolk who stayed behind. So it's not at all uncommon for folks in these parts to have cousins --and cultural inclinations-- from Tennessee, Kentucky, Virginia and West Virginia.
So it's a slow go and sometimes kinda clashy making social change stick up here. You've heard of the old saws about town-and-gown hassles between college students and college town residents? Well in the eastern end of the southern tier counties of NY, thanks to a bunch of SUNY colleges, we have that sort of clash --many of the SUNY students up here are from NYC metro area and so are pretty diverse-- plus the already ongoing clash of old South versus much more recent immigrants to the area from NYC.
The Catskills were long a seasonal retreat for NYC denizens looking for a break from the summer heat. Many of them were Jewish and so were the resort owners and small town merchants in the area, serving a mostly then seasonal customer base. But now the resorts are history and the influx from the city is morphing from seasonal to year-round. The newbies are often artists, writers, investment bankers and techies able to work remotely. The clash between them and the hill farmers and small town "native" residents on certain matters has played out in some epic town council meetings.
So to the matter of the Delaware County Fair and its good ol' boy board members' reluctance to commit to a stand on in-fairgrounds display or sale of Confederate flags and related items: it has its basis in local history from the wayback...
Over in Chenango County they did get specific about it this year and included a ban on "F Biden" flags. Even in Delaware County there have been letters to the editor complaining about those flags being flown from porches that are passed by school buses. So it's a slog, but bit by bit the northern end of the old south is having to deal with the same issues the "new old south" is also still struggling with.
Time passing will help but not without ongoing education. Hence the resistance to and twisting of "critical race theory" in teaching at the present time. It's not easy picking out what to keep and what to let go of an American culture with so many deep and differing historical ties.
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