No - same as if you destroy a dragon statue.
thinks.... Ummm yeah , no..... semi-Autonomous dragon shaped "puppet" able to attack things in the darkness of night, with a breath weapon that literally melts anyhting it touches and poisons everything it doesn't get immediately...
It may be a corrupted young dragon, but it's still
very much a dragon.. A pretty nasty variety at that...
So even if the country ...unwisely... doesn't recognise you as a "dragon slayer" , common joe will most certainly consider you one.
Common people don't go for semantic and/or political games.. They know a dragon when they see one, call a duck a duck, and anyone who kills it is a dragon slayer.