Dr. Floyd Toole put it well in saying something like "It's the ears that got broken in", not the speakers, or electronic gear I guess..
In my opinion, your choice of going with amps rated 200 W 8 ohms, 300 W 4 ohms is about right for the Reference 1. When manufacturers say 50-200 W, you know it is better to go with 200 W, so peak would be 400 W, and that should get you the best out of those speakers, in terms of satisfying their voltage/current need, more may be better, say up to 400 W 4 ohms capable amps. There are good information in the linked review, but that's for the Reference 1 Meta, the non Meta version will be different but I am sure they would be similar enough in terms of current requirements.
Kef Reference 1 Meta Bookshelf Speaker Review
From the measurements, you can see that the Ref.1's loves currents, and it has rather low EPDR (a misleading spec, that says more about heat dissipation, than currents). That, from my understanding, you may be better off using class D amps such as the popular Hypex or Purifi modules based power amps. Class D amps seem less prone to low EPDR than class AB amps that would have to dissipate lots of heat in the output devices, but obviously the ATI signatures should be good with that too.
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