There are many factors that effect the ride of different stock. The suspension is one thing, particularly it's hardness or softness. Particularly with air-suspension, that can change over time if valves get clogged or the leveling system is not set up right (I was involved with an old 1960s bus which had air suspension on the back axle, and it use to ride awfully, particularly over speed humps, but after we had someone look at the entire air system, including the suspension, the ride was a hell of a lot better, although I still think the leaf springs on the front were better still). There is also the damping. Most trains have 3 sets of dampers, firstly damping the up and down and pitching of the bogies, secondly damping the roll and finally damping the yaw (twisting in relation to the body). Again, the tuning of these has quite an effect, and this can also change over time. The weight and weight distrubution of the coach body will also have quite an effect (the more weight, the more stable but the less smooth the ride tends to be).
Personally, I've never found the Mk3s to suffer from much roll, and actually I thought it was a criticism of the Mk4s. Perhaps when refurbished the bogies were overhauled and this has improved the ride, and if so the same is likely with the HSTs.