There, you said it!
It is not about objectivity or aversion to an illegal war of aggression... that was totally initiated by choice... subject to which were every other Middle Eastern state... context be damned!
First thing Pakistan was not and is not party to any Saudi-US bilateral ties or compulsions. Neither was it grandfathered in...
A US aggression where Saudis are mere spectators because US chose war ... WITH OR WITHOUT SAUDI APPROVAL AND WAS NOT ABLE TO GUARANTEE THEIR PROTECTION OR SECURITY.
In other words US threw Saudis under the bus, come what may!
Pakistan has no compulsion unless it so CHOOSE!
And that choice comes with many a pitfalls... Pakistan has a significant Shi'i minority and a sacred border.
This war has nothing to do with Saudis except their exposure to US diktat, materiel and bases... ISR capabilities... that for US work under a unified command.
Here is where the US impunity precludes Iranian... because eventhough US can use whatever it may at its discretion... Iran must ties both its hands behind its back to get slapped around. Because then Saudi or GCC sovereignty swings into action only to split the battlefield when it is not.
I know it seems complicated on the other side... it is not. It is Iran vs zion... where zion can sock puppet US and its proxies to do its bidding.
Pakistan will be wise to sit back. Only thing it can offer is the safety of the regime... which is not going anywhere regardless of Pakistan and Iranians even if they were able to, are not after that...
So stop being so melodramatic.