The all pass filter is not a band width filter or sideband suppression filter.
First sideband suppression is the product of I phase signal interacting with Q
phase signals. So with that hint the phase of signals is a critical parameter.
The second part is the amplitude is also critical.
If you re-read the section in EMRFD to get to high opposing sideband rejection
you require very high degree of phase accuracy and amplitude. There are graphs
and nearly a chapter on what has to be good for the ultimate sideband rejection.
Now with all that said the better the all pass the higher possible opposing sideband rejection but there are practical limits. The microR2 is maybe 37DB, good but the
design was simplified to fit a certain format. The R2 or MiniR2, sand R2Pro
extend that but you still have to get the RF part also exact. Having built a few
if the RF part is off the MiniR2 goes from the mid to high 40db range to under
20. The math in the books makes it clear, error in any part reduces the possible
sideband rejection.
With that said, the all pass "filter" is not a filter but a phase shifter and the accuracy
and range of frequencies it can operate over are a factor. But, the RF to base band conversion has to be accomplished with good accuracy as well. This can be done in software (SDR) and while the computer can give you the exact 90 degree audio
phase shift the error part to be corrected for is in the RF to baseband conversion
where both amplitude and phase accuracy must be correct.
Now if you want to set bandwidth for the receive channel in those designs
there is an audio filter LC in the R2 flavors and can also be active. That
happens after the sideband selection.
Allison