you should post this again for the Cruel Vine - Araujia sericifera. I trust honeyeaters are not trapped by it's flowers. https://weeds.org.au/profiles/moth-plant-cape/
Yes it’s a pretty nasty weed, unfortunately very, very present all throughout my property when we first moved in. However we see all sorts of Honeyeaters going for the nectar, Red Wattlebirds, Little Wattlebirds, Noisy Miners and of course the New Holland Honeyeaters - they love it! I try to pull it out where I can without damaging the rest of the plants.
Often a huge mass of plant will come from a single, not too thick stem which can be cut off at groundlevel leaving the plant to die. You may have a number of plants. They usually lurk under bushes and trees. When it dies/dries it may be unsightly but not as sappy to deal with. It would be best to remove any largish seed pods (to greenbin or ?) when you cut the plant, so they can't dry, open and spread more seed. If too much of the vines grow it may start to break the underlying plants. https://weeds.dpi.nsw.gov.au/Weeds/MothVine