There may well be a correlation between the two, but so there.
it may well be the bosses of those contracted companies who are advising them to lie (rather naively ignoring that it is easy to catch such a lie out).
I suspect it is a local directive within the centre and I doubt Qantas are the ones stipulating it, otherwise the Fijian and South Africans would be doing it too.
In general though, businesses in Australia first had a fascination with Indian contact centres back in the noughties and into the early 2010s. Many tried the idea and found that the overall feedback was poor. This came about for a few reasons:
1. Indian accents are much more difficult to understand to the average Australian, depending on the region of India
2. Less Indians learn English as a key language
3. Indians in general are less customer service oriented
4. Third party contact centre operators in India tend to have a controlling overlord... where the culture is you must stick to the script and there's punishments for not doing so.
5. There is no autotomy given in such contact centres to think outside the box. Part of this is due to the tight reign by the Australian business and part of it is to do with the local culture / the operator of the contact centre.
The fascination then switched to using a Filipino contact centres. This gave a few improvements...
1. Filipinos speak with an American accent when they speak English which appears to be a lot easier to understand to the average Australian
2. English is far better spoken in the Philippines
3. Filipinos have it a lot more in their culture to be service oriented
Now, where there is some similarity to India is that some of the contact centres in the Philippines are still operated by Indians... with the same overlord culture seen in Indian ones, so the agents still feel a sense of fear in what they do, so there is still a lack of autonomy and service orientation in those centres. The ones which do better are the ones who have been given leeway to get the job done.
Then Australia now has a bit of a fascination with the term near-shoring, which involves the use of Fiji-based contact centres, so now many Australian businesses are now dabbling with contact centres in Suva which has become a bit of a hotspot for contact centres.
Similar issues still exist with the use of Fiji based contact centres... I personally don't think there is a way to completely solve all of the issues.