I travel to NAIA about once a month on average. I have to say that I never have a problem on arrival with people wanting to take my luggage (and yes I am obviously foreign!). Have you been recently? For a couple of years now there has been only one stand for cabs outside the terminal, and then further on there is the "Extension" area where private car pickups happen. I have never had a problem in either place - getting to the airport cab office is just a few yards across one roadway to the office and then to the cab: very straightforward, very few people around. If you're being picked up by private car then it's a bit more chaotic as far too many cars try to find and pick up lots of people, but again I have never been hassled.

All this releates to Terminal 1 - I only fly in and out on CX, so I can't comment on other terminals.