OK

native informant:
"ちょっとしか取れない肉のこと"
google hit number 2 for 希少部位
https://store.hida-yamayuushi.com/blog/meat-books/about-chateaubriand.html
"超希少部位！シャトーブリアンが最高級である理由とその味は？"
"chateaubriand" could be said to be "super exclusive" cut but really not a "super unusual" one.

I was surfing ryokan websites yesterday looking at the different meal options and it was obvious the meaning in which they used it 
wasn't "an unusual cut of meat (which you won't often see in restaurants, because it's a little odd)" but "the most exclusive piece 
(because there's so little of it)!" The way they use it, it's really a "PR word" and if a professional translator got to work on their 
sites I really think "we have unusual meat!" would be a poor translation of the actual message the ryokan wants to impart.
Also I think scarcity = exclusivity

@@ -12,0 +13 @@
+<gloss>rare cut</gloss>

http://himekazura.com/category2/entry13.html
"お肉には希少部位と言われる部位があります。希少だからといって、一番美味しいとは限りませんが、どの部位が希少部位なのか知っておくと、お肉を食べる時に役立つでしょう。"

Is "exclusive" the right word? I think I'd go with "unusual".

g ng

希少部位	33422
牛肉の部位	2098
豚肉の部位	1117