In this recent question, we saw that it's not allowed to reinterpret_cast some custom class type instance to itself; struct A{}; reinterpret_cast<A>(A{}); is invalid (it works only through references or pointers). Which seems to make sense, because of the lack of real-world scenarios where such identity conversion is necessary.
Checking the corresponding standard clause, we have in [expr.reinterpret.cast] (emphasis mine):
1 [...] Conversions that can be performed explicitly using
reinterpret_castare listed below. No other conversion can be performed …