The 4-4 point is frequently and interchangeably called 'hoshi point' and less frequently 'star point'. Komoku, takamoku and mokuhazushi are frequently called '3-4 point', '4-3 point',etc. Komoku etc. is Japanese (and also in Chinese but pronounced differently) and will take some time to remember and 3-4, 4-3 points could be just confusing. 'Moku' as in komoku, takamoku, mokuhazushi originally meant 'star'. 'Ko' as in komoku means small or low in Japanese (and Chinese), 'taka' means high, and 'hazushi' means out-of-place, etc. My suggestion is:-
Call 'komoku' low-star or star-low (with or without addition of 'point')
Call 'takamoku' high-star or star-high
Call 'mokuhazushi' diagonal-star or star-diagonal
Those suggested names can be translations from Japanese and also Chinese, easy to remember, and picturesque. Comments are invited. (Gotaro)