One way to hold this word: a hand draws something out of the place it was sitting inside. It was in there; now it is out here, and the space it left is empty. Sometimes the thing drawn out is a group of people leaving a place, and sometimes it is a table, a bed, or a set of pages that was built to slide out.
pull-out 可以想成一隻手，把某個東西從它原本待著的地方抽出來。本來在裡面，現在在外面，原來的位置空了。被抽出來的，有時候是一整群人離開一個地方，有時候是一張桌子、一張床，或一疊本來就設計成可以抽走的紙。
From the word’s history
Wiktionary records both the noun and the adjective as deverbal from the phrasal verb pull out, so every use here carries that verb's picture of drawing something outward.
維基詞典把名詞和形容詞都記成 deverbal from pull out（由片語動詞 pull out 變來的），所以每一種用法都還帶著「往外抽」這個動作的畫面。
Wiktionary entry pull-out, etymology field: Deverbal from pull out (kaikki:3f6f69a190036ae4:2421369883)
登入就可以看每一支怎麼連回核心畫面。