Han's mystery removes buffs/shields. You can tell what are those when the match starts, you have a series of different cassts on the left side of the screen for you and on the right for opponent. Since AF's healing tips isn't placed there, its not a buff. You can consider it a passive, like lightning/fire main's leech, guy's leech, asuma wb's passive that increases dmg when at full hp, the lsit goes on. Scaling buffs, like kimimaro's +def/res, sailor sakura, minato etc. are all considered passives as well, Han's mystery won't affect them.