You often overlook Iraq's complex political system and its neutral stance between Iran and the US. Iraq works closely with the US as well on all levels including military operations whilst having ties with Iran.But, don't you think it's funny that Iran keeps backing down? It tells you about their intentions which I described in my posts that you consider 'going off course'. Iran opposes and incites opposition to Gulf states or other political movements in the region on basis of them not standing up to Israel or US influence. It wants to overthrow some governments or end some political movements because they're preventing resistance against Israel or the US. But they never engage in skirmishes with Israel or the US. They have an opportunity to now, even through their proxies.
The reason I bring this up is because you can't justify wrongdoing against others on basis of them not opposing Israel/the US when you(Iran axis) are no more active than they are against them. If you don't seek to engage with the US or Israel then don't feed those notions to domestic population as a way to establish a hegemony in the region. In the end they just back down and give a different excuse every time.
They claim to be at the forefront of resisting the US and Israel but when push comes to shove they say things like Iran is playing the long game or some other excuse. Iran is indeed playing the long game for Iranian hegemony, and not out of intent to 'resist US and Israel'. If they are honest about their intentions then you can say they are acting out of their interests and it makes no sense for them to fight wars. In the time being, they still use it as an crusade against other Arab states to justify their activity against them.
I don't like hypocritical people who work to deceive otherwise uninformed domestic populaces, which includes all those I listed in the previous posts.
If PMU was to retaliate to this attack it would only benefit Iran as the US would respond back, again and again, creating anger amongst Iraqis and draw wider support for the idea in Iraqi parliament to expel US forces, which is the main thing Iran is aiming for; cutting the US-Iraqi ties as that is what stands in Iran's way.
In Iraq, Iran remains behind the US which still has the upper hand when it comes to influencing. In the end, ISOF and the army remain the largest and strongest military force in the country and they happen to be aligned closer to the US than to Iran. US removal from Iraq would not benefit us as that would enable Iran for further influence in the country, and they indeed seek hegemony over us they do not see us as their equals or their partners. I am not concerned with what Iran wants, i'm looking from Iraq's POV and Iraq's interests. Obviously Iran won't get itself hurt for Iraq, they'll just turn us into a battleground between them and the US for all they want, many Iraqis are aware of this and the majority put their country first as you can see in the protests.
Arab states have for long had a very weak policy in the region, pre-2014 (before the major growth of ISIS). Iraq did not have a PMU, all those militia groups were disbanded by 2008/2009. The Iraqi army was the main military force that was demonized by Arab states media and tagged 'Quwwat al Maliki'. They no longer do this as they realize the alternative would be a far more, actual pro-Iran group (PMU elements), how they could not foresee that is a major failure. Today, with the army largely rebuilt and the PMU having been centralized to a certain degree, placed under gov control. It remains a task that is yet to be completed given all the obstacles in the way, certainly it's not our interests to fight the US.
The GCC is also very inactive in Baghdad whilst they could actively draw the country away from Iran's allied parties, for example, Al-Sadr met MBS a year or two ago as he has completely changed his stance towards a nationalist one and opposes the Fatah coalition(Pro IRGC). The policy of ignoring was tried, it does not work either does the policy of supporting internal enemies do anything as the country has gone through that and survived many attempts already. In fact, it has only solidified Iran's position further as we saw other neighbors standing against the state. The country has been experiencing a resurgence of nationalism as people have grown tired of the religious factions, all meddling or attacks on local troops will be seen as hostile by the general public, which is why again.. Iran wants to see the US striking the PMU. The fuel of these forces is to draw the image that they are constantly being cornered and have to resist this enemy, Iran today has more influence in Iraq than it did before 2014 thanks to the vacuum of the Iraqi army collapse of 2014/2015. Yet some "experts" actually think it would help to abandon the army, all I have to say is lol.