This is just a theory.
We know that most of us are physically addicted to caffeine. And we all know someone who thinks they’re drinking too much coffee and quit cold turkey to reset their system. The result often is they experience headaches. If they drink coffee again the headache goes away. In other words when the body goes through coffee withdrawal it manifests a headache. Taking the coffee pill fixes the headache.
I believe the same applies to headache pills. We are addicted to them. When we deprive the body of the chemical, a headache manifests and remains until we take the pill and then we feel better, until the cycle repeats itself.
To break the cycle we have to power through the headaches until the addiction is severed.