For the CPUs you've listed I'd doubt it, unless it's a trash PSU - the 8086K will be consuming more power, both of those are 65W parts, with the 4060 if the whole system was consuming more than 300W I'd be surprised.
Not to bad, the psu i am using is a 550w Corsair though i do have 2 M.2 ssds and about 4 HDDs as well
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