NO, there is no black letter in the standard that indicates this. The closest you can get is point 7 of the same paragraph
7 [...] the base type is an integral type that can represent all the enumeration values ββdefined in the enumeration. If the integral type can represent all counter values, the enumeration is poorly formed. [...]
In addition, 4.5 Integral shares [conv.prom] say
4 The value of a class of non-enumerated enumeration, the base type of which fi (x) (7.2) can be converted to a prvalue of its base type.
As noted in the comments, there may exist (insidious IMO) implementations that have different endianess between the enumeration and its base type. This will be a matter of quality of execution. For all practical purposes, expect compatibility with layouts.
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