As a Revolutionary War Re-enactor I have seen all the same arguments before. Some people wanted to show up for a battle in cutoff polyester pants and shoes with buckles tied into the laces. I was one of the first to revert to the old straight lasted shoes, which by the way are murder until you stand in the mud for a couple of hours then march several miles in the wet shoes. I think as Rev War re-enactors we have found a working truce between the "thread counters" and those who don't want to bother upgrading thier kit. We have adopted the 10 foot rule. If what you see from 10 feet away looks authentic, then it passes muster. A lot of people have done research to guide us in how we dress and behave, but they realize that there is a lot they don't know.
You have to ask "What is the purpose of this re-enactment" If it is a bunch of people out to have fun, and not publicizing the event as a historical re-enactment, who cares how authentic it is? On the otherhand if you are organizing a re-enacment to educate the public and portray a bit of history, you should strive for authenticity to the best of your ability, and don't hesitate to inform the public about what you know is authentic, and what things are uncertain.
The thread counters (those who inspect the cloth to determine if it was machine or hand woven, and the level of technology required to produce the cloth) have thier place in teaching us more about the history as well.
As for me I will continue to carry my 1777 reproduction musket into the re-enactment of the battle of April 19, 1775 as long as the public can not tell the subtle differences between my musket and the 1763 model from 10 feet away.