I've found the issue and implemented a temporary workaround. Here are the details.
The problem isn't with the TAG insertion or translation plugins: It's with HikaShop's xtd-editor plugin. When it makes the query request to assemble the Products to build it's selection list, the query demands only Products available to ALL viewers. My guess is that the TAG insertion plugin isn't smart enough to filter out Products that the User isn't allowed to see, so the xtd-editor plugin doesn't allow that option.
I've modified
$Where = ' WHERE product_type=\'main\' AND product_access=\'all\' AND product_published=1 ';
to become
$Where = ' WHERE product_type=\'main\' AND product_published=1 ';
and I must deliberately choose Products based upon who can view that particular article.
I made a similar change to the
product insertion tag.
I suspect that both plugins might be updated to be aware of which groups can view the article being edited, and modify the Product query appropriately, but I don't have enough time to build that right now. ( It would be necessary to make the insertion plugin smarter as well, since the editor plugin would only be able to respond when the insertion code is created, but unable to proofread previously inserted codes ).
I realize this is probably a low priority, but I do request you include this on the list of possible future HikaShop updates.
Thanks.