Well, it seems the KTKLN card is no longer needed (called an agency today and the person confirmed this with me). However, there is still some work to do when your helper goes for home leave (so it seems, based on what my helper says).
And that is to get a KPIS card (an Indonesia worker in Singapore kind of ID card, see the details in the brochure below).

And to get this KPIS card, bring along
- work permit,
- passport (and photocopy), and
- employment contract (note: this contract is the one issued from the Indonesian embassy side when you accompany your helper there, and do an interview with the embassy officials (I guess to ascertain that they are paid the minimum sum, have off days, have no issues to report about working for you, … etc).
Note: not sure how all this works out, if you get an maid agency to do it for you, but the price is $150 – $180 as I found out.