I don't think anything going to change in the period of 6 months. Also note that Pakistan will be playing a series with Australia early next year 2022, which will further boost their skills and confidence.
I am thinking in a way that when Pakistan will be winning the series with Australians, then beating West Indies would not be any diffcult
Australia won't be touring Pakistan that's for sure. The only way Pakistan can play a home series against Aus is at UAE. UAE conditions are suitable for Pakistan, they can perform better in UAE then at home. Australia won't be as easy to play like WestIndies. Australia also recently beaten Pakistan in T20 WC.
Well, there is no such announcement of Australians not coming to Pakistan in 2022. I think Pakistan should not play in UAE and should insist them to visit our country.
I am not sure why they are afraid to lose with Pakistan when they are already playing well against England.