HHonor card is lousy as a drug store reward card as HHonor points are some of the least valuable in the perk world - they are worth less than half what better points are worth, hence the 3x «bonus» is really worth 1.5 x of better cards.
But, you can definitely earn additional Membership Rewards points through the program so let's talk about how you can benefit from some other reallyvaluable Amex perks.