I would suggest that if there was any life left in ANZAC she would remain in service with the RAN. As would Arunta. Problem is there is no economic life left. She has been the hardest worked frigate in SE Asia for 30 years. She is worn out and deserves a rest.
Once her decommissioning ceremony is completed, I would think ANZAC will be towed around to Henderson to where Sirius used to be, stripped of anything useful for the other ANZAC ships, and then broken apart for scrap. I will get to watch that slowly happen on my daily drive to work.
The Philippines are also modernising, as is Indonesia, all driven by the same cause as our our rejuvenation. The Philippines, albeit belatedly, are investing in new ships out of the Korean, Indonesian and Japanese yards (nice ones too) for their Navy and Coast Guard. I don't think they are looking for second hand at end of life vessels that would be nothing but high maintenance.
I will note for full disclosure that the Philippines have a long history of acquiring second hand assets (perhaps the consideration behind those recent videos for the ANZACs), and while some of the more recent joiners have been ex US, Japanese or Korean ships, there has been less of these in proportion to new builds, and they all have considerable remaining life.
I've seen the same videos, I would suggest they are someone's wishfull thinking. If we can't figure out how to transfer our old planes and helos as gifts to Ukraine, we have no hope in flogging off our oldest frigates to our nearest neighbours.