The above sentences are all correct, but it answers a slightly different question, I think.
I suspect that Vadim wanted to see if it is desirable to point at a non-branch ref with "submodule.<name>.branch" entry (or invent a new "submodule.<name>.ref" entry) in the ".gitmodules" file.
While the answer to that question is "probably not", to understand why, your answer helps ;-).
The "submodule.<name>.branch" entry hints the name of the branch to be used in the named submodule while working on submodule changes meant to go with the change that will be made to the superproject.
It is expected that the workflow goes like this:
* A contributor checks out branch X of the superproject, which
binds another project whose name is N as its submodule at path P.
In the tree of the commit at the tip of branch X in the
superproject, a concrete commit C in the submodule is recorded
at that path.
* The .gitmodules file found in that superproject checkout may
record submodule.N.branch with value Y. The commit C should be
checked out in the submodule.
* The contributor works on something that involves both the
superproject and the submodule. Perhaps the new feature in the
superproject requires an enhanced version of the submodule, so
there is an dependency. New commits are added on top of C in the
submodule, and branch Y is advanced. The commit at the tip of
that branch is recorded in the superproject's tree, and together
with the changes in the superproject that use the modified
submodule advance the branch X of the superproject.
* The contributor shares the work with other participants by
pushing branch X of the superproject and branch Y of the
submodule. There may be other branches that may be pushed out
"while at it", but at least these two need to be pushed out.
For this workflow to work, it is necessary, as you said, that an exact commit is recorded in the tree of the superproject. We can guarantee a correct build of the superproject at commit at the updated tip of branch X, because we know which submodule commit needs to go with it.
But it is not sufficient. The history in the submodule needs to be manageable---the contributors who cloned the superproject and the submodule need to check out a commit to work on and extend their histories, and while it is possible to work always on detached HEAD, at the place where contributors meet with their work, i.e. the repository their changes were pushed in the last step in the above sequence, there needs _some_ ref. It is possible to use a non-branch ref for that, but because the contributors have to check that ref out after cloning and fetching the submodule, it makes little sense not to require that ref to be a proper branch that can be checked out (instead of merely giving a starting point of an unnamed branch, aka detached HEAD).
And that is why "remote.<name>.branch" is there and it is not "remote.<name>.ref".