So, I believe that this side discussion is fundamentally about a disagreement over the definition of "existential".
IIUC, your definition of "existential" is similar to:
a value of an existential of protocol
P
is a valuev
for which there exists a typeT
, such thatv
is of typeT
andT
conforms toP
.
Under this definition the value boxed in any P
and both possible extensions of some P
are existentials.
However, IIUC the definition of "existential" in general use in the Swift community is similar to:
a value of an existential of protocol
P
is a valueb
which contains a valuev
for which there exists a typeT
, such thatv
is of typeT
andT
conforms toP
, andb
contains proofs of those statements aboutv
.
Under this definition, any P
, but not the value boxed in it, is an existential, but some P
is not, because the proofs for some P
are not stored in the value, but in the context.