"Stefan"
The "operator" can't give the kind of "clearance" ATC gives. But they
can grant permission to land and I don't know of any regulation that
makes it illegal for them to use the word "cleared" when doing so. I've
never heard them say "cleared" without following it with "at your
discretion".

In ICAO terminology, the word "cleared" is reserved for ATC clearances and
it is most confusing and dangerous if the term is used carelessly by other
persons. At uncontrolled fields, AFIS just says "land at your discretion"
or simply "welcome", but without any clearance.

They shouldn't use the word "cleared". But they can and do.It doesn't
confuse me. Would anyone here really find it confusing?

And sometimes they can give or refuse permission to land (private
facility) and sometimes they can't (public one).

Of course, they can always refuse the premission to land (except on
emergencies, of course). In this case, they simply say "you're not allowed
to land".

Not at a public facility.

moo