It's an exaggeration because bans in question are very local but yeah, I didn't know this was a thing in US/AU...
The link about AU is about one company not using corporate funds to promote a political agenda
The link about Saudis Arabia is a wholesale ban on anyone selling rainbow toys because they might be related to the political agenda
These things are in no way the same. There is a huge difference in deciding how business or tax funds are appropriated and choosing not to spend those funds promoting a controversial worldview and outright banning expression of support for that worldview, which is what the Saudis did
The grandparent post is extremely disingenuous
Slight correction: it's one federal government minister setting a rule in 2021 for his own department and being broadly criticized. He is no longer in office (he is now opposition leader and seems to be quite an unsuccessful/unpopular one if recent by-election results are any indicator).
So yes, it's very hyperbolic to suggest these are "going to get banned in ... Australia".