取り立て助詞 is a relatively new term. This is named from the function of these particles in modern Japanese. は is classified as 係助詞 (かかりじょし) in 学校文法, which is taught in Japanese school, so this term would be more common.
学校文法 is based on 国文法, and 国文法 was originally made to analyze classical/ancient Japanese literature. Japanese students need to learn classical Japanese, so 学校文法 is necessary. That's why 取り立て助詞 is not so common among Japanese people. On the other hand, most non-native learners of Japanese don't need to learn classical Japanese, so the term 取り立て助詞 is more useful for them.
This is off-topic, but 係助詞 is important in classical/ancient Japanese since these particles cause a grammatical phenomenon 係り結び. These particles make change the conjugation form of the verb, auxiliary verb or adjective from 終止形 to 連体形 or 已然形 at the end of a sentence. Many Japanese high school students are
forced to remember classical 係助詞 ぞ, なむ, や, か, こそ like a magic spell. I still remember it even decades after high school, and, thanks to my teacher, now I understand why the lyrics of a well-known new year song is 松竹立てて門毎に 祝う今日
こそ楽し
けれ, and not 楽し.