For most realistic conversations you'd be talking about the relative consumption of two devices. Watts/kW is totally fine for this.
Regardless, head-math or otherwise, the vast majority of people will never do this calculation at all, except maybe to weigh the relative power consumption. And if they do the math, having a calculator and having all the units be compatible with each other (so just a natural conversion of W to J/s) is totally fine.
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For most realistic conversations you'd be talking about the relative consumption of two devices. Watts/kW is totally fine for this.
Regardless, head-math or otherwise, the vast majority of people will never do this calculation at all, except maybe to weigh the relative power consumption. And if they do the math, having a calculator and having all the units be compatible with each other (so just a natural conversion of W to J/s) is totally fine.