Turbocharging...
In order to take advantage of turbo boost the engine's "native" cylinder compression ratio must be "derated". Boost, once it arrives, will then raise effective compression ratio back up into the 13:1 range. So the 13:1 "native", off-boost, compression ratio of an Atkinson cycle engine would likely be reduced to something in the range of 10:1 or less.
Obviously that would result in the lowering of the performance of an Atkinson cycle engine to an ever lower level. That, in turn, results in even less exhaust flow/energy for spinning a turbo up quickly and thus the onset of turbo boost would become even more intolerable than with an Otto engine.
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