In reply to The Potato:
All these steels have the same degree of elasticity, so which type of steel they are made of actually by itself, has very little to do with their ride quality.
What does vary is their 'strength' which means that stronger steels can be made into tubes with thinner wall sections which in turn will make the tube more compliant. The thinner wall sections will also be lighter for a given tube diameter, but if they use this weight reduction to allow the use of oversize tube diameters, then the stiffness will probably be higher as the sectional stiffness increases with the square of the diameter. So tube specification, material and geometry are all intrinsically linked and a frame is a sum of the contributing factors.
But the manipulation of the steel tubes to allow the centre section of the tube (away from the joint stresses) to be much thinner than the ends (double and triple butting) is an expensive process, so if the manufacturer simply uses a more expensive headline grabbing type of steel, but in plain section not butted, then you'll just be buying a heavy, teeth rattling bike made of expensive steel at a premium price.
Then there is the joining of the tubes. Traditionally, bike tube sets (like all the 531 varieties) were joined using as little heat as possible with lugs, silver brazed rather than brass even. But builders felt this added unnecessary weight and restrictive in their design angles (and expensive). So weldable steels were developed which use very high temperatures to melt them together and dramatically alter the properties in the Heat Affected Zones around the highly stressed joins. So I wouldn't get too hung up about the hardening process of the tubes themselves as this won't survive the welding process without extensive post welding heat treatment of the frame as a whole.
So the general rules for comfort is be wary of oversized tube diameters and the lighter frame of the same size and geometry will probably have less steel in the tube wall thickness so will probably have a more compliant ride. But if you're a tall, gangling behemoth looking for a really large frame for a fully loaded touring bike, also check the frame is stiff enough.