I think, when we are speaking about the attenuation characteristics of a bandpass, the term "poor bandwidth" is identical to a pretty large bandwidth.What is "poor bandwidth".
The filter has a slower rolloff than a Salen-Key filter but it has the same rolloff slope and high frequency attenuation.
Regarding "high frequency attenuation": No, I think you are not correct.
Comparing two bandpass functions with Q=0.5 (maximum value for the circuit under discussion) and Q=10 we can easily convince ourself that with Q=10 we have app. 20..25dB more high frequency attenuation.
The following formula shows how the transfer functions magnitude depends on frequency (w) as well Q (center frequency at w=1 rad/s, gain normalized to unity):
|H(jw)|=1/SQRT[1+(w+(1/w))²Q²]
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