Would your body become tougher by avoiding medicine for minor aches/pains?

Clearly if you have a broken leg you need a splint or a cast or something – but what if you just have a small headache? Throughout your lifetime would taking small doses of medication have a note-worthy negative effect? What about mentally?

I understand it depends on the pill but I’m speaking from a holistic standpoint I suppose.

I’m interested in the over the counter pill craze where people are taking medications and then medications to cope with the side effects of those medications, etc. What if you were to tough most of those out? Would you be better off?