There is no simple answer to this question.
Generally -- a wood
stage floor versus a vinyl
dance floor on top of that wood
stage floor will perform the same in terms of
decay time within the room. They're both equally reflective in terms of airborne sound. Keyword -- airborne.
However -- for instruments that are in direct contact with the floor (cello's, basses, some percussion equipment), the structure-borne resonance carried from the
instrument into the floor that can provide additional warmth will be very diminished with a vinyl surface. That may or may not be an appreciable difference for your particular room though. If the subfloor has
insulation in it to dampen footfall noise, for example -- that resonance is already getting killed. Any number of other factors in the
stage floor construction can also kill that resonance. If you're uncertain about the resonance of your floor and are particularly concerned about providing a better acoustical experience for those specific instruments, you can put them on wooden platforms such as you see below.
Whether or not your room is already acoustically primed for a symphony to the degree where improving resonance will be audible to the overall audience is another matter entirely. It may or may not be that perceptible when your room's broader acoustic experience and background noise are considered.
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