How do you explain the inflation found in EU countries, even ones with vastly different government spend and national debt profiles?

You're overfocusing on one single component of a fairly complex system. Government spending, COVID impacts (pent up demand, supply chain disruptions), a massive war in Europe impacting multiple crucial raw materials - they all have a part in the stagnation / borderline recession we're seeing. Anyone claiming it's "simple" or due to one single factor either has an agenda or doesn't understand how complex economics are.