But if nothing is capable of reproducing the "original" colours, which is true in very saturated flowers (not the camera or screen or printer ink), then all we can ever hope for is the best realistic interpretation and that has to include the detail, which we can accurately replicate if not the most saturated of the colours. If Perceptual is blocking up you have other issues.
Besides, colour is not as static a concept as we think, besides the "is red to me red to you?" unprovable conundrum, any reproduction is limited by what light is either shining on it, for a print, or out of it for a screen.
Best practice is to shoot with a color checker card and create your own profile, everything else is just guessing and we are notoriously unreliable at that, then post process for detail. It isn't difficult or time consuming, it just takes discipline.