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There record in uae is historic, they have beaten Aus , Eng , NZ there. If I m not wrong they have won 8 consecutive T20 series at uae. Don't know why you saying they are done losing abroad. If you follow cricket, Pakistan is always know to be unpredictable and they have still a decent side for T20 WC.
To the second part, they already have conducted so many series with Sri, RSA, ZIM,WI at home. Still big 3 think it's not safe to tour Pak.
UAE is not a foreign territory for Pakistan as they have their fans in huge numbers and UAE was their neutral ground for over a decade and their local fans deserve to see them play in their home country and i do support that but for that you need to make sure the teams that are planning to tour should be confident about the ground security and if they are confident they will tour them.
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I read somewhere that NZ might consider playing in Pakistan in 2022. I am not sure whether it will happen or not but to convince the world to come and play in their home ground PCB needs to put more effort. 50 per cent of their revenue comes from ICC and everyone knows ICC makes money from bigger boards. They need to start performing in the ICC tournament and then these boards might consider playing with them in Pakistan. Let's see how they perform in the upcoming WT20 cup.
If New Zealand is willing to tour Pakistan then it is great for the local fans as they wanted to see competitive cricket and with the support of local fans they will perform better than in the UAE.