When Catholics use the expression "Latin Mass" they aren't really referring to the language of the mass, though they are, they are actually referring to a form of the mass that existed prior to the liturgical reforms of the 1960s. This 'new' mass, the Mass of Paul VI, is the fruit of the Second Vatican Council and finally promulgated in 1970.
Prior to 1970, the mass celebrated universally was the fruit of two millennia of organic grown ultimately formalized in 1570 by Pius V and only occasionally amended from that date on up to 1962.
It would be quite easy for your to make a comparison yourself of this 'new' mass (novus ordo) to the 'old' mass (Tridentine Mass, Extraordinary Form, or usus antiquior ) by having a look at them in English on line here.
Open up the links in two separate windows side-by-side and read them from beginning to end. Note the similarities and the dissimilarities. In some cases the latter are minor and in others they are not so minor. Also be on the look out for out-and-out omissions. These are most telling. Please remember as you read them that you are reading prayers, the highest form of prayer in the Catholic Church actually.
And one last point, on the Latin language in fact, one thing it has to commend it is its unchanging quality. It's a dead language so the meanings of words cannot change over time. And from my personal experience as a kid in Catholic school in the 1970s, a mass in Latin absolutely eliminates the possibility of the priest ad libbing on the altar. "Sorry Father Mike, this ain't about you."
Sorry for the long answer. I hope you find it helpful.
I appreciate your answer.