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This is the latest update and schedule of Australian Home season. we were discussing this in Test thread in context of T-20 WC and IPL, this might able to give you some sort of answer about CA mindset.
Going through everything that is coming out i understand they are not that keen to conduct the tournament this year.
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I hope that they can conduct the T20 World Cup this year, because I am sure that the IPL will be cancelled for 2020. Monsoon season has started in India, along with heavy torrential rains and this is going to last 3-4 months. And the number of cases here are increasing on a day by day basis. The BCCI is still hopeful, but even their hopes are fading rapidly.
We are living in a very volatile situation and i am not too aware of the things going around with BCCI but overall it is not the best times and CA might have their reasons to extend the tournament.
Should New Zealand throw their hat for T-20 WC hosting? Seems they already lifting all the restrictions, all they have to do is follow quarantine idea at start for all teams/staff or whatever they decides?
Consider what is said above, New Zealand throwing in the hat to co host the World cup is a good idea and the ICC should start taking decisions.