That depends. Even with a lower Qtc, if you want to choose the crossover frequency somewhat, but not far above the resonant frequency of the loudspeaker in its enclosure (fc), the loudspeaker's roll-off will still influence the response and then you could compensate for that with a circuit like in post # 19, but with different component values.
By the way, when you would change the enclosure for a Q of 1/2 sqrt(2) ~= 0.7071068 and choose the cross-over frequency equal to fc, you only need a second-order Butterworth high-pass at fc to get an overall fourth-order Linkwitz-Riley response from electrical input to acoustical output. That's because your loudspeaker then acts as a second-order Butterworth high-pass at fc and a Linkwitz-Riley is by definition equivalent to a cascade of two Butterworth filters with equal responses.
By the way, when you would change the enclosure for a Q of 1/2 sqrt(2) ~= 0.7071068 and choose the cross-over frequency equal to fc, you only need a second-order Butterworth high-pass at fc to get an overall fourth-order Linkwitz-Riley response from electrical input to acoustical output. That's because your loudspeaker then acts as a second-order Butterworth high-pass at fc and a Linkwitz-Riley is by definition equivalent to a cascade of two Butterworth filters with equal responses.
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