https://ja.wiktionary.org/wiki/啤酒

Yes, the Jp Wiktionary entry for 啤酒 doesn't even have a kana reading. The Kotobank site seems to be the only one with ひしゅ. I'll move that headword.

https://kitagawa.ws/tsingtaobeer/
青島啤酒 （チンタオビール） | KITAGAWA.WS

This should prob be merged with 青島ビール based on the google results. The kotobank reading is likely auto-generated and not correct.

(a) this is not in JMdict - it's in a parallel names dictionary (JMnedict) which has nearly 800,000 names including many products.
(b) all 4 kanji are in the JIS standards.
(c) 青島啤酒 appears in quite a lot of Japanese WWW pages. It's reasonable to provide some support for people wanting to look it up, as with the more common 青島ビール, which is a Japanese name for the same product.

This is totally a Chinese brand or word.  It is not even Japanese Kanji.  You cannot find it from any regular Japanese dictionary. The OP refers to https://kotobank.jp/word/青島啤酒-1369102 and the source is from 世界大百科事典 which is an encyclopedia.  Does JMDict now include everything from encyclopedia? If so, you should not call JMDict a dictionary.

This is totally a Chinese brand or word.  It is not even Japanese Kanji.  You cannot find it from any regular Japanese dictionary. The OP refers to https://kotobank.jp/word/青島啤酒-1369102 and the source is from 世界大百科事典 which is an encyclopedia.  Does JMDict now include everything from encyclopedia? If so, you should not call JMDict a dictionary.