An interesting thought. Have you any particular reason for thinking 'never' is acceptable with some verb forms but not with the present tense?
The word used with the past tense allows one to say on hindsight about things one has not done.
The word used with the future tense is like a pledge that someone would not do something.
The present tense is used with habitual actions. Things which one not done in the past does not mean one would definitely not do it in the future.
Are you saying that 'never' is overused by Asian speakers of English, or are you saying that we speakers of BrE and AmE overuse it?
I often see it used by Asians as a kind a emphasis for flat denial of not doing something. It is not a word to be used indiscriminately.