Some problems simply require using the right tools. They aren't necessarily hard, but they will be if you try to hammer a nail in with a screwdriver. The Date API, and to a certain extent Python's datetime module, are screwdrivers for a nail-shaped problem.
The rest of your example seem to have more to do with bad dependency practices than using dependencies in the first place. If you are going to include a dependency, think about it, consider whether it's worth it, document that decision, and then consistently use that dependency. Just because you've seen projects use dependencies poorly doesn't mean dependents are bad by themselves.