To my mind the Iraq war was the result of several factors: a desire to maintain US military, economic and political dominance in the Middle-East, concerns about oil supply to the West (ie. ensuring to whom the oil is sold) and in what currency the oil market operates (the $), an ascendant fear over US domestic safety in the light of 9/11, residual hubris over the perceived victory in the Cold War as well as complacency after what looked like an easy victory in Afghanistan. The UK, of course, was happy to hang off the US coattails and pick up any scraps. Clearly the WMD thing was contrived bollocks. Certainly, contacts of mine in the special forces were under no illusions about the real nature of the war and saw it as a legitimate pursuit of UK 'interests'. In a sense they are right; western lifestyles are like sausages...they taste great but you probably don't want to think about how they are made. In fact, this probably applies to any metaphorical sausages one may be fortunate to have in one's fridge.
The Russian war special military operation really began in 2014 with the annexation of Crimea. This was a land grab of a vital Russian naval base permitting access to the Black Sea, the strategic importance of which is obvious when one looks at a map. Why did Russia do this? Because of fears of Ukraine choosing to leave the Russian orbit and look westwards. This was of course the source of Yanukovych's downfall after his attempt to stop closer relations with the EU, doubtless under pressure from Moscow. Along with this came a separatist movement in the east of Ukraine and an insurgent war.
So to this extent there are some parallels to be drawn with the Iraq invasion and the Ukraine invasion. The great difference lies not so much with the propaganda war preceding both invasions but the reaction to any pushback within the respective countries against it.
There's a dose of ethnocentrism at play when people present these as equivalent for they certainly are not. Whilst propaganda is universal, oppression of dissent is not equivalent and a visit to a totalitarian state is a stark reminder. Russia has an almost continuous history of totalitarianism, with a brief interlude in the early and mid 90s when it was replaced by chaos. The mechanisms of totalitarianism are deeply embedded in Russian society, as are instinctive behaviours towards it. I have spent some time in totalitarian states, including the Soviet Union in the mid 1980s, and conversations about internal politics are always conducted in a highly nuanced and coded manner. In Soviet times dissent entailed gulag, or in later decades either social and economic exclusion or a trip to a psychiatric hospital. Currently, it results in arrest, imprisonment, probably loss of job and, in the worse cases, physical harm.
I don't think that is the case in the UK, or indeed the US