So, I am by no means an expert, and in full disclosure, I am Orthodox, in the Slavic tradition (Rusyn). That being said, it is my understanding, that Sancti Missa (Holy Mass) refers to the Liturgy of the Eucharist, Divine Liturgy refers to both, the Liturgy of the Word (Gospel) and Liturgy of the Eucharist. Liturgy translates from Greek lēitos - Public and ergos work. I’ve heard it translated as, Public Work/Worship and Work of the People.
I would not say that referring to either Sancti Missa or Divine Liturgy as one or the other as wrong or incorrect: I will only say that it is “more authentic” to refer to both Eucharistic services as the Divine Liturgy. Personally, I feel that if you are showing up and participating, I don’t care what you call it. But then again, I’m just a layperson.