Those are beautiful chairs, and I would agree that the price sure looks worth it. Thank you for bringing them to my attention
For a point of comparison, Kevin Rodel designed the side chairs I built (from plans he published in Fine Woodworking). He lists a price of $1,600 each on his website[0]. I think that's also an entirely fair price for what is a simpler chair to build. Ignoring everything else driving cost in chairs, adding arms alone adds complexity.
The question of listing price is a difficult one. Christopher Scharz of Lost Art Press addressed this an an article he wrote for Core77[1]. He's very established (and rightly so) and chooses not to, but he suggests it might be an advantage for somebody starting out.
One challenge to publishing prices that I perceive is that it fixes a price in a potential customer's mind. I wrote to somebody last week about the question of pricing, and observed that a bookshelf for a child's bedroom is a very different piece from a bookshelf for a lawyer's office. The price varies considerably between the two!
What I (and other people doing principally custom work) can offer is the ability to tailor a project to a budget (within reason) by explaining what drives cost and letting them make choices based upon what they're looking for in a piece.
At this point, I don't want to turn anybody away with a price that's outside their budget, but I'm also mindful of the adage that "if you have to ask, you can't afford it".
[0] https://www.kevinrodel.com/showroom/item/dining-chair
[1] https://www.core77.com/posts/86153/Should-You-Publish-Your-P...
Two things I noticed a couple years ago:
1. There is a quite expensive furniture maker near where I grew up -- in the more "genteel" area of course.
2. If I still lived there I'd totally shell out three grand for one of their chairs!
I've never spent that much on a piece of furniture, but it sure looks like it's worth it:
http://ericksonwoodworking.com/furniture/seating/sumi-chair-...
Your work is beautiful and I hope you find many buyers. I humbly suggest you include prices on your web site, as many people have no idea what handmade furniture costs these days, and many of those can actually afford it.