Question: Coolant leak in heater core area

[FactoryC3]

I have found a leak from the area where the two heater hoses connect to the heater core supply tubes.
First noted a drop of coolant on the inboard hose where it loops below the core connection.
I tied a rolled piece of paper towel around the inboard hose up close to the connection to the core and found the leak is coming from this area. I plan to replace the hoses, but fear I may have a heater core issue also. My limited experience indicates that if the core leaks, it shows up inside the passenger area. Any insight into this would be appreciated.

 

[Peer81]

Yes if the core leaks you'll find a wet carpet on the passenderside. I hope this isn't happening because changing the core is a hell!

Greetings Peter