Edit: I'd also like to add that for something cheap and mass manufactured that we shouldn't concern ourselves with, we sure don't have a lot of it on a grid that already delivers some of the most expensive power in the world. ie one that should be able to afford it a lot more than others
So either way you need batteries, and all the problems they bring. Just about "how many".
If this project is viable, then it'll probably be more viable to have a massive solar farm coming from India, where the timezone shift is in the correct direction, and it would outcompete Australia.
Meanwhile the peak of solar generation around midday in Australia is being sent off to Singapore in the morning who are a couple hours behind us. Presumably the morning is when the least AC will be used there. By the evening in Singapore, it'll be night in Central Australia, meaning there will still have to be plenty of peaking generation or, will need a massive ton of batteries which has still not quite there for grid scaling.
There is practically no empirical evidence in this article, just reliance on vague "indicators" and the time of tweets. Forgive me for taking this with a massive grain of salt.
I installed a CO2 meter both at my current home, and at my parent's home for when I go back for Christmas. In my home, it's a fairly big open place so it takes ~2 days of closed windows (0-3C outside) to reach 2000PPM (recommended under 1000, above 2000 starts affecting you, 5000 is the legal limit[1]). However, at my family home where I grew up it's a tiny room and it reaches 3000-4000 just by sleeping there with the window and door closed. So the headaches of "visiting family" might in big part be explained by this.
PS, incidentally in Spain!
[1] https://www.kane.co.uk/knowledge-centre/what-are-safe-levels...