There would be no mutually-damning scenarios if the PAF kept to its role of being a military service arm.
Pakistan's wider dysfunctions, such as a weak government (esp. on the foreign relations side) and the resulting inability (or unwillingness) to fight for Pakistan's interests has resulted in the PAF doing diplomacy work. There's a void and it is trying to plug that gap.
But as you let the armed forces engage in such works, then you might as well also live with ill-informed media outlets, Hussain Haqqanis, Asma Jehangirs, etc, doing the same thing. They're also non-elected entities filling up the diplomacy void left by a weak Pakistani government.
Basically, there is no other point than the obvious: it isn't the PAF's job nor its right to determine who its (and, by extension Pakistan's) friends are... The fact that this is happening isn't an indictment on the PAF in as much as it is an indictment on Pakistan's government.