both dingo and the spread of this family are around 5000 years give or take and roughly contemporaneous with this introgression in OP. None of the dates are known with that much precision afaik. It seems the theory that the languages are indian is disputed, so lets just say a lot of new stuff was happening around that time.
There is disputed circumstantial evidence for other waves of migration. For example the Bradshaw paintings have long been thought to be the work of newer peoples (maybe from papua). Some people dispute this and say it discounts the abilities of the natives there, and that may be true, there could be just one group always there who did them and then stopped. But the art bears little resemblance to earlier art there or in other regions of australia, which is often little more than handprints or slightly cartoonish looking things. The bradshaws are quite different and it at least makes sense to ask if there wasnt some new wave of peoples with unique tools and art style. Or otherwise some kind of "golden era" where there was more population and other interesting things happened. Something to look for in future. (https://en.m.wikipedia.org/wiki/Gwion_Gwion_rock_paintings)
Most of the claims Im making come straight from the nature article at the top. First paragraph:
"Northern Aboriginal Australians can trace as much as 11% of their genomes to migrants who reached the island around 4,000 years ago from India, a new study suggests. Along with their genes, the migrants <may?> also have brought more advanced tool-making techniques and the ancestors of the dingo."
The pama-nyungan proto-language has been estimated to be around 5,000 years old, roughly. There are sources for this claim in the wikipedia article, and also for the claim that 306/~400 aborginal languages are in this family. The "out of india" theory is more disputed than I thought (corrected this elsewhere), but is a proposed theory. There are several theories here, but the paper argues for basically what Ive said elsewhere: https://langev.com/pdf/442ac40068c1d8a67a561d0d7f0fcd95c429c...
I talked about the bradshaw paintings somewhere else, the wikipedia article on these has good sources i also have some papers somewhere. Notnsure what else you want to get started.
Theres a lot of speculation around all of this. It is still a source to back up this theory and leads you to others about the archeology. Here is a genetic study from 2016 that disputes the one in this article: https://www.cell.com/current-biology/fulltext/S0960-9822(16)....
No one really knows until we sequence way more people and more bones.
There is disputed circumstantial evidence for other waves of migration. For example the Bradshaw paintings have long been thought to be the work of newer peoples (maybe from papua). Some people dispute this and say it discounts the abilities of the natives there, and that may be true, there could be just one group always there who did them and then stopped. But the art bears little resemblance to earlier art there or in other regions of australia, which is often little more than handprints or slightly cartoonish looking things. The bradshaws are quite different and it at least makes sense to ask if there wasnt some new wave of peoples with unique tools and art style. Or otherwise some kind of "golden era" where there was more population and other interesting things happened. Something to look for in future. (https://en.m.wikipedia.org/wiki/Gwion_Gwion_rock_paintings)