Butting reduces the weight without compromising the strength of the tube in question, as it retains the thickness where it is needed. It doesn't alter the compliance / springiness / damping properties of the metal involved.
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I think a few qualifiers are required here.. all things (base material properties) being equal, butting will reduce strength in the centre of the tube compared to plain gauge tube of the same dims as the ends of the butting. However, this is usually offset / accounted for by the use of higher strength materials in butted applications.
Butted tubes are fatter at their ends to provide more strength in this area; due to both higher potential loads encountered in these areas during use, as well as to offset the effect of welding / brazing heat on material strength of heat-treated tubes. Fatter tubes are also easier to weld consistently.
Butting doesn't alter the material properties of the tube, but it does alter the tube's behaviour as thinner walls will deflect more for a given load.
Essentially the two extremes for ostensibly the same level of strength are thick-uniform-walled low-strength steel (gaspipe) which is heavy and stiff, versus a butted tube with much thinner walls made of higher strength steel, that's both lighter and more "springy" as a result; making it more compliant over bumps and seemingly more characterful / "alive".