_If_, as Jonathan correctly questions, the effect is real, then one one
would need to investigate the relevant properties of the metals.  I can
think of three possible variables.

(But first, remember that nickel silver is considered by metallurgists
to be a particular _kind_ of brass.  So if investigating metalurgic
properties, general figures for "brass" won't be specific enough to
help.)

Water vapor condenses inside a brass instrument because the tube is
cooler than the 35 degree C 95% humidity breath.  The condensation of
the water on the metal surface transfers heat to the metal, warming it.
(This is called the "heat of condensation".)  As the metal warms, less
condensation occurs.  When you stop playing, the metal cools again.  The
rapidly the metal warms during playing affects how long and how much
condensation occurs.  This is affected by both the specific heat of the
alloy (probably not too different over the range of alloys used in
brass) and the mass (i.e. thickness) of the metal, which can be very
different between different instruments.

My guess, if the effect is real, is that the thermal mass of the main
tubing is somewhat different between the two instruments.

There might also be affects from different surface conditions of the
metal surface of the bore, for instance, difference in initial finish,
corrosion, or coating of scum.  Of course, temperature of the
surrounding air, and whether the air is completely still or moving, will
greatly affect the warming and cooling of the brass.
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