Your usage is correct. The, and your reasoning is also pretty much in line with this:
The simple present tense is one of several forms of present tense in English. It is used to describe habitsis used to describe habits, unchanging situations, general truths, and fixed arrangements. - Education First (emphasis mine.)
The simple past tense, sometimes called the preterite, is used to talk about a completedis used to talk about a completed action in a time before now. - ditto