The issues people protest on all have their roots way before the US began to bomb Iran. And there already have been protests like this in the past about similar issues. Yeah, some prices got way up but still the root cause f the protests isn't Iran

In Brazil it's a concern about democracy if fascist gets into power and in India there it's also not wanting fascist Modi in power Who's meddling with democracy In France and Belgium it's wanting better education In Albania, it's the protest against corruption and Trump wanting to build hotels and stuff.
In Spain it's the housing crisis that sparked the protests but still it's been an issue long before Trump bombed Iran. What you say is mostly true for Italy, but in conclusion I would say like it's just Iranian propaganda.