it has been recently pointed out by several groups of researchers that those models may be in fact over-simplified… A big disadvantage of minimal models is therefore… that they are minimal!
Occam's razor is always a pro but, as Einstein said, 'make everything as simple as possible, but not simpler'.
Too simple is indeed not always good, indeed. We may risk loosing a bunch of useful and important content in the process (reducing climate change to a single curve describing an average temperature is a good example of what we should not have done).