Actually, I'd say Boba is the proverbial "chip off the old block".
Think about it, Boba is definitely more "raw" in the way he interacts with people, both bounty and client, but you have to think about the reason. Dad pretty much dies while he watches, the only person he knows that took care of him just got decapitated, that's gotta make ya mean inside.
I don't know what happens to Boba after geonosis, if I understand it right he learns his craft pretty much by himself, trial and error. And when error can cause you your life, you tend to be on the extremely cautious side and you will make sure that your opponent is toast or otherwise unable to hurt you.
Jango was adopted into mando culture, he grew up in a "social" environment. He'd still kill you because he had the skill, but he grew up being "civil". That explains the less gritty attitude when it comes to talking with Jedi. When Jango talks with Obi wan, he's sizing him up, checking to see if he's going to be difficult to kill. You actually have to commend Obi wan, lesser Jedi have died in Jango's bare hands, I repeat, bare hands. You have to consider how many Jedi Jango took out, including Trebor Coleman (shot down from the balcony on geonosis) and consider how many Jedi Boba killed.
Jango also escaped from a prison ship, contributed to the end of the Deathwatch, stole a prototype firespray (Slave I), became the template for the hundreds of thousands of clones you have grown to love, and spawned our very own Boba Fett.
Boba nodded, quick drew, and asked what would happen if solo died because he's worth a lot to him, and that made him the coolest "bad guy" in the original trilogy. It's true he goes on to reassemble the mandalorians and becomes mandalore, has an actual daughter that's not cloned from himself, and does perpetuate the fear of being hunted by Boba Fett, but you have to consider the source.
Truly, dad was actually quite busy during his prime and accomplished quite a bit in the star wars universe, an exact duplicate of him could only achieve equally impressive things yet we know very little of what Boba has accomplished and that's what makes him more mysterious, more raw, seem somewhat more deadly.
In the end, Jango wasn't less of a Fett than his clone/son, he was just a more elegant bounty hunter from a more civilized time.