Air France, Lufthansa and BA all have carry-on included in the fare.
If by "any European airline" you specifically mean Ryanair, then yes. We can expect people to pay if they did not print their boarding pass themselves.
The majority of airlines operating in Europe and the majority of flights taken are on low cost carriers where this is the norm. It’s not just RyanAir there’s dozens of them.
Air France, Lufthansa and BA all have carry-on included in the fare.
If by "any European airline" you specifically mean Ryanair, then yes. We can expect people to pay if they did not print their boarding pass themselves.