Cross-Site Copy: bad rewriting of big text links

I have a first site "TCK". I created a second site "TCK2".

On the first site I created a big text with:

• one link to another sister page in my left menu
• one link on a direct sub-page
  I validated the whole

Then I copy-pasted this section to TCK2 (with root user).

On the first site I have then the following HTML links:

<a href="/cms/op/edit/site/tck/test">Liens site TCK</a>
</p>
<p>
<a href="/cms/site/tck/page17.html">Lien sub-page</a>

On the second site, I am getting:

<a href="/cms/site/tck2/test">Liens site TCK</a>
</p>
<p>
<a href="/cms/site/tck/page17.html">Lien sub-page</a>
</p>

The first link which is not present in the copied section to TCK2 was rewritten with a TCK2 url (should still point to the first site as this page does not exist on TCK2). This generates a404 error when clicking on it.
The second link (sub-page on the first site) IS present on the destination but was not rewritten and is still pointing to the source site.