> Research grants are given by governments mainly to first TEACH students

Government's goal is obvious and correct, but if you have done a research and tried to get a grant you should know grants are very "political" as well, if you are researching a thing which is not trendy or takes another 10 years to yield results, but there is another lab who is telling we are researching LLM, it will be very difficult to get a grant even if you promise to TEACH/hire 20 students for that research.

Justifying long term benefits is difficult problem