Frequency response, of course.
If the speaker needs isolating it is because it is allowing spurious transmission of vibration to the environment causing added output at whatever frequency it is exciting in and around its mounting.
In terms of bass it depends strongly on the room construction but with suspended floors is the addition of floor radiation to that from the speaker, for example. Many people may like the extra
The problem is the same as all FR measurements using a microphone though, it is not possible to separate the contribution if accurate direct radiation from the drivers from the spurious and delayed vibration fro everything else being effected.
Speaker designers use FEA to calculate it, a whole room would be a bit of a challenge in FEA!