I assume that the first sentence is there for a reason, and that you
wish to understand why it allows both forms while the second allows
only one.
The reason is that
insist has two meanings, or two shades of meaning, if you will.
If you insist that someone goes to Athens, you are saying quite firmly
that you know that the person makes regular trips to and from
Athens. The person goes (regularly, as a habit) to Athens, and
you know it, and you state it firmly, possibly in the face of
resistance from others who do not believe it.
If you insist that someone go to Athens, you are in deliberative
mode. A decision is being made whether the person should go to
Athens (make one trip there). You envision the person traveling
to Athens. That envisioned act is what you firmly want to happen,
and you argue in favor of it.
On the other hand,
it is advisable has no meaning that allows a similar interpretation. You can't say, for example,
He spends the holidays with you (regularly, habitually), and that's what is advisable / what I advise.
(It's too late to advise anything once you already know the facts.)
Therefore, the second sentence means that the spending of holidays with
you is an envisioned act -- and that this envisioned act should become
a reality in the future, i.e., that it is advisable for it to become a
reality. Envisioned acts are often expressed in the
subjunctive. An alternative is the FOR ... TO ... construction:
It is advisable for him to spend the holidays with you.
Does this help?
CJ