I think both goals are doable. For the most part one would not expect a one-to-one sound from quick tweaking. Furthermore, sometimes I play Purple Rain with the original close-enough flanger setting, sometimes with a chorus, sometimes with a Dimension-D setting, mostly as I'm bored playing that song but it's requested. That also helps me to motivate playing it. This is true of both covers and originals, there's something liberating to change the sound quickly from time to time when performing something rather than being a preset robot.
Having a rotary knob to switch expansion pedal settings quickly is not a deal breaker for me, but it's interesting how most MFX pedalboards with a built-in expansion pedal has such a thing with volume as a default setting. Same with more complex Wah pedals such as Boss PW10... Means you could maximize the use of one pedal rather than bringing three of them to the set, or spend menu diving to set up the pedal just when you feel for a Tom Morello pitch bender effect in a solo ten seconds before starting it.