My impression is that it only cares if the person who built the power generating object cares strongly enough. Handwavium tends to be very, very impressionable. Typically, it will be quirks about not doing particular things, or actually being extra-efficient (preferring) to do one thing or another.
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"You know how parents tell you everything's going to fine, but you know they're lying to make you feel better? Everything's going to be fine." - The Doctor
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"You know how parents tell you everything's going to fine, but you know they're lying to make you feel better? Everything's going to be fine." - The Doctor