Preachers of self-reliance seem to confuse "not letting other people affect you" and "not caring about other people".
Self-reliance and people-pleasing are two separate axes on a Cartesian plane. You can be both self-reliant and people-pleasing.
Being self-reliant, but not people-pleasing is trivial. If you isolate yourself, there is nobody to rely on!
In the same vein, it's easy to be moral and idealistic when alone. The real test is with real people, and whether you are still able to keep those ideals.
Wield both: self-reliance and people-pleasing. Then you will be a force to be reckoned with.
EDIT: Talking about truth and white lie as a dichotomy is childish. They are tools in a toolbox. If you feel guilty because you lied, then you are a slave to the principle of honesty. If you are thinking about which (truth or white lie) is better for the relationship, then you are a master in command of both principles.