Do nothing more , this way the thumb will strike the hamronic spot on the string right after the pick and quickly leave it to make it sound clear as a natural harmonic would normaly sound.
In terms of physics , it will creat an equaly divided standing wave that cause the harmonic sound on the guitar.
P.H. can be played on an acoustic , but I wouldn't recomend that to someone who's just about to learn how to do it.
A high gain settings is the best & the easiest way to learn it fast , then to push yourself another step higher , try cleaner settings or even an acoustic.