The gull on the right is definitely not Slaty-backed because it doesnt have a dark-enough mantle and doesn't have dark pink legs. It also lacks the heavily built structure of Slaty-backed.
Both are adults with yellow legs and both appear to be in the Heuglin's/Vega complex. The difference in iris colour is not diagnostic as it can vary from all yellow, as the right hand bird, through intermediate, like the left hand bird, to all dark in breeding plumage, especially in Vega but also in a small proportion of Heuglin's.
The left hand bird appears to be typical heuglini taimyrensis, the commonest large white-headed gull in Hong Kong. Its mantle is not dark enough for nominate heuglini heuglini. It has faint small spotting on the nape which, as expected by March, is all that is left of the more extensive head and neck streaking characteristic of winter plumage. It has completed wing moult and has a medium sized white mirror on the underside of the closed outer primary. It has a dark mark on the upper mandible above the red spot, but again such markings do occur in several taxa and are not diagnostic. Sometimes they indicate a bird which is just reaching maturity.
The right hand bird is similar in many respects, including the faint spotting remaining on the nape, but differs by having a slightly paler mantle, broader white tertial crescent, larger white mirror on the underside of the closed outer primaries, and no dark markings on the upper mandible. The first three features taken together indicate that it probably originates further east towards the zone of vegae birulai, but because it still clearly has yellow and not pink or intermediate apricot legs it is not birulai. This is where gull taxonomics get messy. The current view is that both taimyrensis and birulai represent hybrids between Heuglin's Gull and Vegae Gull, and a range of intermediates can therefore occur. Some mongolicus [Mongolian Gulls] can also be very similar to the right hand bird; indeed some authorities now consider mongolicus to be a sub-species of vegae. However, most mongolicus in Hong Kong have pink legs, heavier build, paler mantle, and white head and neck, so on balance I think your right hand bird is still heuglini taimyrensis but closer to birulai than the left hand bird.
The high quality photos such as yours and others, especially from close-ups at Nam Sang Wai last winter, all help to document and compare these confusing large gulls. Keep taking the photos and keep posting them for discussion.
Mike Chalmers