For indigenous communities, killing dingoes are a cultural icon, and for them killing them is tantamount to killing a family member.
This has been raised more forcefully, after recent surveys showed that the Australian dingo is actually genetically very pure.
Given their classification of being native species, they should not be culled.
It is true that there is some question as to when the dingo arrived in Australia, and whether it arrived with early humans, however that would still mean that they arrived 50,000 years ago, which would definitely make them native in almost any regular description.