Recognizing the meaning of individual Latin words does not allow you in general to understand the meaning of a phrase! None of the languages you mentioned have

Recognizing the meaning of individual Latin words does not allow you in general to understand the meaning of a phrase! None of the languages you mentioned have explicit case markings, and mostly rely on word order and prepositions to signal whether nouns are subjects/objects/indirect/etc objects. Latin is starkly not like that, don't you agree? Even if people are coming from a language background with explicit case markings (i.e. German) they're still going to have to know what the endings actually mean, and get used to a different case system. Anyway it sounds like you're recognizing that you benefit from having a parallel translation into a language in which you are fluent in order to make sense of the meaning... Which is 100% the point of having a translation, of course.