Therefore, string gauges do not affect action. ... Lighter strings have lower tension, so they will not put that much pressure on the headstock. That will change the neck relief. In other words, the neck can flatten a little bit with lighter strings on it.
Can you get lower action with heavier strings?
Yes. More tension, narrower vibration so heavier strings will let you get lower action.
Are lighter gauge strings easier to play?
Lighter gauge strings are easier to play than heavier gauge strings because they require less tension. This means that your fingers don't have to work as hard to press down or bend the string, which makes fretting chords and notes easier.